407716864 has 33 divisors (see below), whose sum is σ = 816329271. Its totient is φ = 203535360.

The previous prime is 407716853. The next prime is 407716873. The reversal of 407716864 is 468617704.

The square root of 407716864 is 20192.

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

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 407716864.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 645829 + ... + 646459.

Almost surely, 2^407716864 is an apocalyptic number.

407716864 is the 20192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407716864

407716864 is an abundant number, since it is smaller than the sum of its proper divisors (408612407).

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

407716864 is an frugal number, since it uses more digits than its factorization.

407716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The cubic root of 407716864 is about 741.5143471623.

The spelling of 407716864 in words is "four hundred seven million, seven hundred sixteen thousand, eight hundred sixty-four".