390405030976 has 63 divisors (see below), whose sum is σ = 784990502533. Its totient is φ = 192645735680.

The previous prime is 390405030947. The next prime is 390405031019. The reversal of 390405030976 is 679030504093.

The square root of 390405030976 is 624824.

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., 242087616576 + 148317414400 = 492024^2 + 385120^2 .

It is a super-2 number, since 2×390405030976² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 414882666 + ... + 414883606.

Almost surely, 2^390405030976 is an apocalyptic number.

390405030976 is the 624824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390405030976

390405030976 is an abundant number, since it is smaller than the sum of its proper divisors (394585471557).

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

390405030976 is an frugal number, since it uses more digits than its factorization.

390405030976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 390405030976 in words is "three hundred ninety billion, four hundred five million, thirty thousand, nine hundred seventy-six".