388413216 has 72 divisors (see below), whose sum is σ = 1114773660. Its totient is φ = 128272896.

The previous prime is 388413209. The next prime is 388413247. The reversal of 388413216 is 612314883.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 4410000 = 19596^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25206 + ... + 37578.

Almost surely, 2^388413216 is an apocalyptic number.

388413216 is a gapful number since it is divisible by the number (36) 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 388413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557386830).

388413216 is an abundant number, since it is smaller than the sum of its proper divisors (726360444).

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

388413216 is a wasteful number, since it uses less digits than its factorization.

388413216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12487 counting only the distinct ones).

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

The square root of 388413216 is about 19708.2017444515. The cubic root of 388413216 is about 729.6221325811.

The spelling of 388413216 in words is "three hundred eighty-eight million, four hundred thirteen thousand, two hundred sixteen".