390801824 has 48 divisors (see below), whose sum is σ = 882000000. Its totient is φ = 166973184.

The previous prime is 390801787. The next prime is 390801833. The reversal of 390801824 is 428108093.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75677 + ... + 80675.

It is an arithmetic number, because the mean of its divisors is an integer number (18375000).

Almost surely, 2^390801824 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 390801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441000000).

390801824 is an abundant number, since it is smaller than the sum of its proper divisors (491198176).

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

390801824 is a wasteful number, since it uses less digits than its factorization.

390801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 390801824 is about 19768.7082026115. The cubic root of 390801824 is about 731.1147190368.

It can be divided in two parts, 39080 and 1824, that added together give a palindrome (40904).

The spelling of 390801824 in words is "three hundred ninety million, eight hundred one thousand, eight hundred twenty-four".