390442815 has 32 divisors (see below), whose sum is σ = 793282560. Its totient is φ = 178487712.

The previous prime is 390442783. The next prime is 390442817. The reversal of 390442815 is 518244093.

It is not a de Polignac number, because 390442815 - 2⁵ = 390442783 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 390442815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390442817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 205639 + ... + 207528.

It is an arithmetic number, because the mean of its divisors is an integer number (24790080).

Almost surely, 2^390442815 is an apocalyptic number.

390442815 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

390442815 is an abundant number, since it is smaller than the sum of its proper divisors (402839745).

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

390442815 is a wasteful number, since it uses less digits than its factorization.

390442815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413188 (or 413182 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 390442815 is about 19759.6258820859. The cubic root of 390442815 is about 730.8907716175.

The spelling of 390442815 in words is "three hundred ninety million, four hundred forty-two thousand, eight hundred fifteen".