388743264 has 324 divisors, whose sum is σ = 1401050196. Its totient is φ = 101896704.

The previous prime is 388743253. The next prime is 388743319. The reversal of 388743264 is 462347883.

388743264 is a `hidden beast` number, since 388 + 7 + 4 + 3 + 264 = 666.

It is a super-2 number, since 2×388743264² = 302242650610747392, which contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 2384847 + ... + 2385009.

It is an arithmetic number, because the mean of its divisors is an integer number (4324229).

Almost surely, 2^388743264 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 388743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700525098).

388743264 is an abundant number, since it is smaller than the sum of its proper divisors (1012306932).

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

388743264 is a wasteful number, since it uses less digits than its factorization.

388743264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 388743264 is about 19716.5733331124. The cubic root of 388743264 is about 729.8287357035.

The spelling of 388743264 in words is "three hundred eighty-eight million, seven hundred forty-three thousand, two hundred sixty-four".