388690920 has 256 divisors, whose sum is σ = 1359244800. Its totient is φ = 98703360.

The previous prime is 388690903. The next prime is 388690933. The reversal of 388690920 is 29096883.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2837092 + ... + 2837228.

It is an arithmetic number, because the mean of its divisors is an integer number (5309550).

Almost surely, 2^388690920 is an apocalyptic number.

388690920 is a gapful number since it is divisible by the number (30) 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 388690920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679622400).

388690920 is an abundant number, since it is smaller than the sum of its proper divisors (970553880).

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

388690920 is a wasteful number, since it uses less digits than its factorization.

388690920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 388690920 is about 19715.2458772393. The cubic root of 388690920 is about 729.7959772622.

The spelling of 388690920 in words is "three hundred eighty-eight million, six hundred ninety thousand, nine hundred twenty".