388405920 has 96 divisors (see below), whose sum is σ = 1398273408. Its totient is φ = 88777728.

The previous prime is 388405907. The next prime is 388405921. The reversal of 388405920 is 29504883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (388405921) by changing a digit.

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, 54439 + ... + 61158.

It is an arithmetic number, because the mean of its divisors is an integer number (14565348).

Almost surely, 2^388405920 is an apocalyptic number.

388405920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

388405920 is an abundant number, since it is smaller than the sum of its proper divisors (1009867488).

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

388405920 is a wasteful number, since it uses less digits than its factorization.

388405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115622 (or 115614 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 388405920 is about 19708.0166429806. The cubic root of 388405920 is about 729.6175641163.

The spelling of 388405920 in words is "three hundred eighty-eight million, four hundred five thousand, nine hundred twenty".