416931072804 has 81 divisors (see below), whose sum is σ = 1101959013883. Its totient is φ = 132906134064.

The previous prime is 416931072763. The next prime is 416931072809. The reversal of 416931072804 is 408270139614.

The square root of 416931072804 is 645702.

It is a perfect power (a square), and thus also a powerful number.

416931072804 is a `hidden beast` number, since 416 + 93 + 1 + 0 + 72 + 80 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416931072804.

It is not an unprimeable number, because it can be changed into a prime (416931072809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89104537 + ... + 89109215.

Almost surely, 2^416931072804 is an apocalyptic number.

416931072804 is the 645702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416931072804

416931072804 is an abundant number, since it is smaller than the sum of its proper divisors (685027941079).

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

416931072804 is an equidigital number, since it uses as much as digits as its factorization.

416931072804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 416931072804 in words is "four hundred sixteen billion, nine hundred thirty-one million, seventy-two thousand, eight hundred four".