416628864 has 96 divisors (see below), whose sum is σ = 1202947200. Its totient is φ = 138407424.

The previous prime is 416628851. The next prime is 416628881. The reversal of 416628864 is 468826614.

416628864 is a `hidden beast` number, since 4 + 16 + 628 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×416628864² = 347159220635860992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579097 + ... + 579815.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^416628864 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 416628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

416628864 is an abundant number, since it is smaller than the sum of its proper divisors (786318336).

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

416628864 is a wasteful number, since it uses less digits than its factorization.

416628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 416628864 is about 20411.4885297472. The cubic root of 416628864 is about 746.8782025364.

The spelling of 416628864 in words is "four hundred sixteen million, six hundred twenty-eight thousand, eight hundred sixty-four".