390576 has 40 divisors (see below), whose sum is σ = 1031680. Its totient is φ = 127296.

The previous prime is 390553. The next prime is 390581. The reversal of 390576 is 675093.

It is a super-2 number, since 2×390576² = 305099223552, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

390576 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 3741 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2³⁹⁰⁵⁷⁶ 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 390576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515840).

390576 is an abundant number, since it is smaller than the sum of its proper divisors (641104).

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

390576 is a wasteful number, since it uses less digits than its factorization.

390576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 390576 is about 624.9607987706. The cubic root of 390576 is about 73.0973867543.

The spelling of 390576 in words is "three hundred ninety thousand, five hundred seventy-six".