460685352 has 64 divisors (see below), whose sum is σ = 1184544000. Its totient is φ = 149231360.

The previous prime is 460685347. The next prime is 460685353. The reversal of 460685352 is 253586064.

It is a self number, because there is not a number n which added to its sum of digits gives 460685352.

It is not an unprimeable number, because it can be changed into a prime (460685353) 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, 166702 + ... + 169442.

It is an arithmetic number, because the mean of its divisors is an integer number (18508500).

Almost surely, 2^460685352 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 460685352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592272000).

460685352 is an abundant number, since it is smaller than the sum of its proper divisors (723858648).

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

460685352 is a wasteful number, since it uses less digits than its factorization.

460685352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 460685352 is about 21463.5819936934. The cubic root of 460685352 is about 772.3274448325.

The spelling of 460685352 in words is "four hundred sixty million, six hundred eighty-five thousand, three hundred fifty-two".