388291904 has 336 divisors, whose sum is σ = 1135075200. Its totient is φ = 127733760.

The previous prime is 388291903. The next prime is 388291907. The reversal of 388291904 is 409192883.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388291903) 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 47 ways as a sum of consecutive naturals, for example, 13389362 + ... + 13389390.

It is an arithmetic number, because the mean of its divisors is an integer number (3378200).

Almost surely, 2^388291904 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 388291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567537600).

388291904 is an abundant number, since it is smaller than the sum of its proper divisors (746783296).

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

388291904 is a wasteful number, since it uses less digits than its factorization.

388291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 388291904 is about 19705.1238006768. The cubic root of 388291904 is about 729.5461644000.

It can be divided in two parts, 388 and 291904, that added together give a palindrome (292292).

The spelling of 388291904 in words is "three hundred eighty-eight million, two hundred ninety-one thousand, nine hundred four".