460825416 has 64 divisors (see below), whose sum is σ = 1321382400. Its totient is φ = 148651200.

The previous prime is 460825403. The next prime is 460825439. The reversal of 460825416 is 614528064.

460825416 is a `hidden beast` number, since 4 + 608 + 2 + 5 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27715 + ... + 41106.

It is an arithmetic number, because the mean of its divisors is an integer number (20646600).

Almost surely, 2^460825416 is an apocalyptic number.

It is an amenable number.

460825416 is an abundant number, since it is smaller than the sum of its proper divisors (860556984).

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

460825416 is a wasteful number, since it uses less digits than its factorization.

460825416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68867 (or 68857 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 460825416 is about 21466.8445748321. The cubic root of 460825416 is about 772.4057081631.

The spelling of 460825416 in words is "four hundred sixty million, eight hundred twenty-five thousand, four hundred sixteen".