390550688 has 96 divisors (see below), whose sum is σ = 871492608. Its totient is φ = 170726400.

The previous prime is 390550621. The next prime is 390550691. The reversal of 390550688 is 886055093.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 2044673 + ... + 2044863.

It is an arithmetic number, because the mean of its divisors is an integer number (9078048).

Almost surely, 2^390550688 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 390550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435746304).

390550688 is an abundant number, since it is smaller than the sum of its proper divisors (480941920).

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

390550688 is a wasteful number, since it uses less digits than its factorization.

390550688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 390550688 is about 19762.3553252136. The cubic root of 390550688 is about 730.9580764974.

The spelling of 390550688 in words is "three hundred ninety million, five hundred fifty thousand, six hundred eighty-eight".