390537120 has 96 divisors (see below), whose sum is σ = 1237565952. Its totient is φ = 103519232.

The previous prime is 390537083. The next prime is 390537131. The reversal of 390537120 is 21735093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80689 + ... + 85391.

It is an arithmetic number, because the mean of its divisors is an integer number (12891312).

Almost surely, 2^390537120 is an apocalyptic number.

390537120 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 390537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618782976).

390537120 is an abundant number, since it is smaller than the sum of its proper divisors (847028832).

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

390537120 is a wasteful number, since it uses less digits than its factorization.

390537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 390537120 is about 19762.0120433118. The cubic root of 390537120 is about 730.9496117370.

The spelling of 390537120 in words is "three hundred ninety million, five hundred thirty-seven thousand, one hundred twenty".