390117280 has 96 divisors (see below), whose sum is σ = 1089728640. Its totient is φ = 129131520.

The previous prime is 390117229. The next prime is 390117293. The reversal of 390117280 is 82711093.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26475 + ... + 38485.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^390117280 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 390117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

390117280 is an abundant number, since it is smaller than the sum of its proper divisors (699611360).

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

390117280 is a wasteful number, since it uses less digits than its factorization.

390117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 390117280 is about 19751.3867867550. The cubic root of 390117280 is about 730.6875863500.

The spelling of 390117280 in words is "three hundred ninety million, one hundred seventeen thousand, two hundred eighty".