388825920 has 280 divisors, whose sum is σ = 1581448704. Its totient is φ = 88833024.

The previous prime is 388825907. The next prime is 388825961. The reversal of 388825920 is 29528883.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180369 + ... + 182511.

Almost surely, 2^388825920 is an apocalyptic number.

388825920 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 388825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790724352).

388825920 is an abundant number, since it is smaller than the sum of its proper divisors (1192622784).

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

388825920 is a wasteful number, since it uses less digits than its factorization.

388825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 388825920 is about 19718.6693263009. The cubic root of 388825920 is about 729.8804583137.

The spelling of 388825920 in words is "three hundred eighty-eight million, eight hundred twenty-five thousand, nine hundred twenty".