390115872 has 48 divisors (see below), whose sum is σ = 1137840480. Its totient is φ = 130038336.

The previous prime is 390115867. The next prime is 390115877. The reversal of 390115872 is 278511093.

It is an interprime number because it is at equal distance from previous prime (390115867) and next prime (390115877).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (390115877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224898 + ... + 226625.

It is an arithmetic number, because the mean of its divisors is an integer number (23705010).

Almost surely, 2^390115872 is an apocalyptic number.

390115872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390115872 is an abundant number, since it is smaller than the sum of its proper divisors (747724608).

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

390115872 is a wasteful number, since it uses less digits than its factorization.

390115872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451542 (or 451528 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 390115872 is about 19751.3511436560. The cubic root of 390115872 is about 730.6867072901.

The spelling of 390115872 in words is "three hundred ninety million, one hundred fifteen thousand, eight hundred seventy-two".