460656640 has 104 divisors (see below), whose sum is σ = 1122887808. Its totient is φ = 181370880.

The previous prime is 460656587. The next prime is 460656649. The reversal of 460656640 is 46656064.

It is a self number, because there is not a number n which added to its sum of digits gives 460656640.

It is not an unprimeable number, because it can be changed into a prime (460656649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699705 + ... + 1699975.

Almost surely, 2^460656640 is an apocalyptic number.

460656640 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 460656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561443904).

460656640 is an abundant number, since it is smaller than the sum of its proper divisors (662231168).

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

460656640 is an equidigital number, since it uses as much as digits as its factorization.

460656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 460656640 is about 21462.9131293960. The cubic root of 460656640 is about 772.3113995164.

The spelling of 460656640 in words is "four hundred sixty million, six hundred fifty-six thousand, six hundred forty".