390963024 has 50 divisors (see below), whose sum is σ = 1131564170. Its totient is φ = 130320576.

The previous prime is 390963011. The next prime is 390963031. The reversal of 390963024 is 420369093.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 73410624 = 17820^2 + 8568^2 .

It is a super-2 number, since 2×390963024² = 305704172270449152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 390963024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 149539 + ... + 152130.

Almost surely, 2^390963024 is an apocalyptic number.

It is an amenable number.

390963024 is an abundant number, since it is smaller than the sum of its proper divisors (740601146).

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

390963024 is a wasteful number, since it uses less digits than its factorization.

390963024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301689 (or 301674 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 390963024 is about 19772.7849328313. The cubic root of 390963024 is about 731.2152299049.

The spelling of 390963024 in words is "three hundred ninety million, nine hundred sixty-three thousand, twenty-four".