460925504 has 56 divisors (see below), whose sum is σ = 998631480. Its totient is φ = 209793024.

The previous prime is 460925501. The next prime is 460925513. The reversal of 460925504 is 405529064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5017600 + 455907904 = 2240^2 + 21352^2 .

It is not an unprimeable number, because it can be changed into a prime (460925501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56942 + ... + 64530.

It is an arithmetic number, because the mean of its divisors is an integer number (17832705).

Almost surely, 2^460925504 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 460925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499315740).

460925504 is an abundant number, since it is smaller than the sum of its proper divisors (537705976).

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

460925504 is a wasteful number, since it uses less digits than its factorization.

460925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 460925504 is about 21469.1756711803. The cubic root of 460925504 is about 772.4616244556.

The spelling of 460925504 in words is "four hundred sixty million, nine hundred twenty-five thousand, five hundred four".