388518416 has 120 divisors (see below), whose sum is σ = 914316480. Its totient is φ = 158780160.

The previous prime is 388518409. The next prime is 388518439. The reversal of 388518416 is 614815883.

It is a happy number.

It is a super-2 number, since 2×388518416² = 301893119142298112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082045 + ... + 1082403.

It is an arithmetic number, because the mean of its divisors is an integer number (7619304).

Almost surely, 2^388518416 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 388518416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457158240).

388518416 is an abundant number, since it is smaller than the sum of its proper divisors (525798064).

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

388518416 is a wasteful number, since it uses less digits than its factorization.

388518416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 388518416 is about 19710.8705033542. The cubic root of 388518416 is about 729.6879982765.

The spelling of 388518416 in words is "three hundred eighty-eight million, five hundred eighteen thousand, four hundred sixteen".