390413824 has 80 divisors (see below), whose sum is σ = 834768000. Its totient is φ = 181868544.

The previous prime is 390413791. The next prime is 390413831. The reversal of 390413824 is 428314093.

It is a self number, because there is not a number n which added to its sum of digits gives 390413824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651477 + ... + 652075.

It is an arithmetic number, because the mean of its divisors is an integer number (10434600).

Almost surely, 2^390413824 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 390413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417384000).

390413824 is an abundant number, since it is smaller than the sum of its proper divisors (444354176).

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

390413824 is an equidigital number, since it uses as much as digits as its factorization.

390413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 390413824 is about 19758.8922766434. The cubic root of 390413824 is about 730.8726812357.

The spelling of 390413824 in words is "three hundred ninety million, four hundred thirteen thousand, eight hundred twenty-four".