390962816 has 32 divisors (see below), whose sum is σ = 782273700. Its totient is φ = 194627584.

The previous prime is 390962807. The next prime is 390962827. The reversal of 390962816 is 618269093.

It can be written as a sum of positive squares in 2 ways, for example, as 372644416 + 18318400 = 19304^2 + 4280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23270 + ... + 36378.

Almost surely, 2^390962816 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 390962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391136850).

390962816 is an abundant number, since it is smaller than the sum of its proper divisors (391310884).

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

390962816 is a wasteful number, since it uses less digits than its factorization.

390962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 390962816 is about 19772.7796730758. The cubic root of 390962816 is about 731.2151002313.

The spelling of 390962816 in words is "three hundred ninety million, nine hundred sixty-two thousand, eight hundred sixteen".