466992 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 145728.

The previous prime is 466957. The next prime is 466997. The reversal of 466992 is 299664.

466992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 466992.

It is not an unprimeable number, because it can be changed into a prime (466997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9913 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2^{466992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

466992 is an abundant number, since it is smaller than the sum of its proper divisors (961488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466992 is a wasteful number, since it uses less digits than its factorization.

466992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 466992 is about 683.3681291954. The cubic root of 466992 is about 77.5835796198.

It can be divided in two parts, 4669 and 92, that added together give a square (4761 = 69^{2}).

The spelling of 466992 in words is "four hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 47 48 54 69 72 92 94 108 138 141 144 184 188 207 216 276 282 368 376 414 423 432 552 564 621 752 828 846 1081 1104 1128 1242 1269 1656 1692 2162 2256 2484 2538 3243 3312 3384 4324 4968 5076 6486 6768 8648 9729 9936 10152 12972 17296 19458 20304 25944 29187 38916 51888 58374 77832 116748 155664 233496 466992

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