390055920 has 80 divisors (see below), whose sum is σ = 1215398400. Its totient is φ = 103479552.

The previous prime is 390055909. The next prime is 390055931. The reversal of 390055920 is 29550093.

It is an interprime number because it is at equal distance from previous prime (390055909) and next prime (390055931).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43677 + ... + 51843.

It is an arithmetic number, because the mean of its divisors is an integer number (15192480).

Almost surely, 2^390055920 is an apocalyptic number.

390055920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607699200).

390055920 is an abundant number, since it is smaller than the sum of its proper divisors (825342480).

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

390055920 is a wasteful number, since it uses less digits than its factorization.

390055920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 390055920 is about 19749.8334170190. The cubic root of 390055920 is about 730.6492753570.

The spelling of 390055920 in words is "three hundred ninety million, fifty-five thousand, nine hundred twenty".