416894724 has 81 divisors (see below), whose sum is σ = 1093317589. Its totient is φ = 133942080.

The previous prime is 416894717. The next prime is 416894743. The reversal of 416894724 is 427498614.

The square root of 416894724 is 20418.

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

It can be written as a sum of positive squares in only one way, i.e., 20088324 + 396806400 = 4482^2 + 19920^2 .

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 416894724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5022787 + ... + 5022869.

Almost surely, 2^416894724 is an apocalyptic number.

416894724 is the 20418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416894724

416894724 is an abundant number, since it is smaller than the sum of its proper divisors (676422865).

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

416894724 is a wasteful number, since it uses less digits than its factorization.

416894724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The cubic root of 416894724 is about 747.0370352009.

The spelling of 416894724 in words is "four hundred sixteen million, eight hundred ninety-four thousand, seven hundred twenty-four".