390338592 has 144 divisors (see below), whose sum is σ = 1198169280. Its totient is φ = 108988416.

The previous prime is 390338591. The next prime is 390338633. The reversal of 390338592 is 295833093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (390338591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3581034 + ... + 3581142.

It is an arithmetic number, because the mean of its divisors is an integer number (8320620).

Almost surely, 2^390338592 is an apocalyptic number.

390338592 is a gapful number since it is divisible by the number (32) 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 390338592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599084640).

390338592 is an abundant number, since it is smaller than the sum of its proper divisors (807830688).

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

390338592 is a wasteful number, since it uses less digits than its factorization.

390338592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 390338592 is about 19756.9884344755. The cubic root of 390338592 is about 730.8257322956.

The spelling of 390338592 in words is "three hundred ninety million, three hundred thirty-eight thousand, five hundred ninety-two".