416572416 has 352 divisors, whose sum is σ = 1421436800. Its totient is φ = 119439360.

The previous prime is 416572399. The next prime is 416572427. The reversal of 416572416 is 614275614.

416572416 is a `hidden beast` number, since 41 + 6 + 572 + 41 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6829026 + ... + 6829086.

Almost surely, 2^416572416 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 416572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710718400).

416572416 is an abundant number, since it is smaller than the sum of its proper divisors (1004864384).

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

416572416 is a wasteful number, since it uses less digits than its factorization.

416572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 416572416 is about 20410.1057322102. The cubic root of 416572416 is about 746.8444701280.

The spelling of 416572416 in words is "four hundred sixteen million, five hundred seventy-two thousand, four hundred sixteen".