460675600 has 120 divisors (see below), whose sum is σ = 1379965248. Its totient is φ = 143577600.

The previous prime is 460675583. The next prime is 460675613. The reversal of 460675600 is 6576064.

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, 23322 + ... + 38278.

Almost surely, 2^460675600 is an apocalyptic number.

460675600 is a gapful number since it is divisible by the number (40) 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 460675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689982624).

460675600 is an abundant number, since it is smaller than the sum of its proper divisors (919289648).

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

460675600 is a wasteful number, since it uses less digits than its factorization.

460675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14993 (or 14982 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 460675600 is about 21463.3548169898. The cubic root of 460675600 is about 772.3219951328.

The spelling of 460675600 in words is "four hundred sixty million, six hundred seventy-five thousand, six hundred".