388113264 has 480 divisors, whose sum is σ = 1504189440. Its totient is φ = 90316800.

The previous prime is 388113259. The next prime is 388113283. The reversal of 388113264 is 462311883.

388113264 is a `hidden beast` number, since 388 + 1 + 13 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5466349 + ... + 5466419.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^388113264 is an apocalyptic number.

388113264 is a gapful number since it is divisible by the number (34) 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 388113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752094720).

388113264 is an abundant number, since it is smaller than the sum of its proper divisors (1116076176).

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

388113264 is a wasteful number, since it uses less digits than its factorization.

388113264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 388113264 is about 19700.5904480043. The cubic root of 388113264 is about 729.4342673823.

The spelling of 388113264 in words is "three hundred eighty-eight million, one hundred thirteen thousand, two hundred sixty-four".