388709400 has 96 divisors (see below), whose sum is σ = 1209119040. Its totient is φ = 103301760.

The previous prime is 388709323. The next prime is 388709401. The reversal of 388709400 is 4907883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388709401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207267 + ... + 209133.

It is an arithmetic number, because the mean of its divisors is an integer number (12594990).

Almost surely, 2^388709400 is an apocalyptic number.

388709400 is a gapful number since it is divisible by the number (30) 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 388709400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604559520).

388709400 is an abundant number, since it is smaller than the sum of its proper divisors (820409640).

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

388709400 is a wasteful number, since it uses less digits than its factorization.

388709400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 388709400 is about 19715.7145444947. The cubic root of 388709400 is about 729.8075429350.

The spelling of 388709400 in words is "three hundred eighty-eight million, seven hundred nine thousand, four hundred".