390965388 has 96 divisors (see below), whose sum is σ = 1071947520. Its totient is φ = 109578240.

The previous prime is 390965359. The next prime is 390965389. The reversal of 390965388 is 883569093.

It is a super-2 number, since 2×390965388² = 305707869227981088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 390965388.

It is not an unprimeable number, because it can be changed into a prime (390965389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130920 + ... + 133872.

It is an arithmetic number, because the mean of its divisors is an integer number (11166120).

Almost surely, 2^390965388 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 390965388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535973760).

390965388 is an abundant number, since it is smaller than the sum of its proper divisors (680982132).

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

390965388 is a wasteful number, since it uses less digits than its factorization.

390965388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 390965388 is about 19772.8447118769. The cubic root of 390965388 is about 731.2167036925.

The spelling of 390965388 in words is "three hundred ninety million, nine hundred sixty-five thousand, three hundred eighty-eight".