460645416 has 96 divisors (see below), whose sum is σ = 1555444800. Its totient is φ = 119646720.

The previous prime is 460645411. The next prime is 460645433. The reversal of 460645416 is 614546064.

460645416 is a `hidden beast` number, since 4 + 6 + 0 + 645 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460645411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36001 + ... + 47088.

It is an arithmetic number, because the mean of its divisors is an integer number (16202550).

Almost surely, 2^460645416 is an apocalyptic number.

It is an amenable number.

460645416 is an abundant number, since it is smaller than the sum of its proper divisors (1094799384).

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

460645416 is a wasteful number, since it uses less digits than its factorization.

460645416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83119 (or 83112 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 460645416 is about 21462.6516535120. The cubic root of 460645416 is about 772.3051269532.

The spelling of 460645416 in words is "four hundred sixty million, six hundred forty-five thousand, four hundred sixteen".