390531456 has 160 divisors (see below), whose sum is σ = 1328492880. Its totient is φ = 111559680.

The previous prime is 390531431. The next prime is 390531469. The reversal of 390531456 is 654135093.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390531456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69886 + ... + 75266.

Almost surely, 2^390531456 is an apocalyptic number.

390531456 is a gapful number since it is divisible by the number (36) 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 390531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664246440).

390531456 is an abundant number, since it is smaller than the sum of its proper divisors (937961424).

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

390531456 is an equidigital number, since it uses as much as digits as its factorization.

390531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 390531456 is about 19761.8687375461. The cubic root of 390531456 is about 730.9460780408.

The spelling of 390531456 in words is "three hundred ninety million, five hundred thirty-one thousand, four hundred fifty-six".