390930624 has 378 divisors, whose sum is σ = 1424779980. Its totient is φ = 105815808.

The previous prime is 390930611. The next prime is 390930647. The reversal of 390930624 is 426039093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (378).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20575287 + ... + 20575305.

Almost surely, 2^390930624 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 390930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712389990).

390930624 is an abundant number, since it is smaller than the sum of its proper divisors (1033849356).

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

390930624 is an frugal number, since it uses more digits than its factorization.

390930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

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

The square root of 390930624 is about 19771.9656079005. The cubic root of 390930624 is about 731.1950301874.

The spelling of 390930624 in words is "three hundred ninety million, nine hundred thirty thousand, six hundred twenty-four".