388542400 has 84 divisors (see below), whose sum is σ = 1006454680. Its totient is φ = 147225600.

The previous prime is 388542397. The next prime is 388542409. The reversal of 388542400 is 4245883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388542409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24010 + ... + 36790.

Almost surely, 2^388542400 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 388542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503227340).

388542400 is an abundant number, since it is smaller than the sum of its proper divisors (617912280).

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

388542400 is a wasteful number, since it uses less digits than its factorization.

388542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 388542400 is about 19711.4788892158. The cubic root of 388542400 is about 729.7030129889.

The spelling of 388542400 in words is "three hundred eighty-eight million, five hundred forty-two thousand, four hundred".