390378564 has 81 divisors (see below), whose sum is σ = 1025704407. Its totient is φ = 125186688.

The previous prime is 390378551. The next prime is 390378619. The reversal of 390378564 is 465873093.

The square root of 390378564 is 19758.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5904900 + 384473664 = 2430^2 + 19608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4386232 + ... + 4386320.

Almost surely, 2^390378564 is an apocalyptic number.

390378564 is the 19758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390378564

390378564 is an abundant number, since it is smaller than the sum of its proper divisors (635325843).

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

390378564 is a wasteful number, since it uses less digits than its factorization.

390378564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 390378564 is about 730.8506777913.

The spelling of 390378564 in words is "three hundred ninety million, three hundred seventy-eight thousand, five hundred sixty-four".