390915504 has 160 divisors (see below), whose sum is σ = 1289917440. Its totient is φ = 111034368.

The previous prime is 390915491. The next prime is 390915509. The reversal of 390915504 is 405519093.

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 (390915509) 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, 776917 + ... + 777419.

It is an arithmetic number, because the mean of its divisors is an integer number (8061984).

Almost surely, 2^390915504 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 390915504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644958720).

390915504 is an abundant number, since it is smaller than the sum of its proper divisors (899001936).

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

390915504 is a wasteful number, since it uses less digits than its factorization.

390915504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 390915504 is about 19771.5832446468. The cubic root of 390915504 is about 731.1856032706.

The spelling of 390915504 in words is "three hundred ninety million, nine hundred fifteen thousand, five hundred four".