466928952 has 96 divisors (see below), whose sum is σ = 1408176000. Its totient is φ = 126370368.

The previous prime is 466928927. The next prime is 466928981. The reversal of 466928952 is 259829664.

It is a junction number, because it is equal to n+sod(n) for n = 466928895 and 466928904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56799 + ... + 64497.

It is an arithmetic number, because the mean of its divisors is an integer number (14668500).

Almost surely, 2^466928952 is an apocalyptic number.

466928952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466928952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088000).

466928952 is an abundant number, since it is smaller than the sum of its proper divisors (941247048).

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

466928952 is a wasteful number, since it uses less digits than its factorization.

466928952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7730 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 466928952 is about 21608.5388677717. The cubic root of 466928952 is about 775.8008797568.

The spelling of 466928952 in words is "four hundred sixty-six million, nine hundred twenty-eight thousand, nine hundred fifty-two".