390589440 has 176 divisors, whose sum is σ = 1273397760. Its totient is φ = 102154240.

The previous prime is 390589417. The next prime is 390589447. The reversal of 390589440 is 44985093.

It is a super-2 number, since 2×390589440² = 305120221279027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 390589392 and 390589401.

It is not an unprimeable number, because it can be changed into a prime (390589447) by changing a digit.

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, 906025 + ... + 906455.

Almost surely, 2^390589440 is an apocalyptic number.

390589440 is a gapful number since it is divisible by the number (30) 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 390589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636698880).

390589440 is an abundant number, since it is smaller than the sum of its proper divisors (882808320).

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

390589440 is a wasteful number, since it uses less digits than its factorization.

390589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 390589440 is about 19763.3357508291. The cubic root of 390589440 is about 730.9822518916.

The spelling of 390589440 in words is "three hundred ninety million, five hundred eighty-nine thousand, four hundred forty".