388814400 has 504 divisors, whose sum is σ = 1559177984. Its totient is φ = 91238400.

The previous prime is 388814351. The next prime is 388814401. The reversal of 388814400 is 4418883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (388814401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5803167 + ... + 5803233.

Almost surely, 2^388814400 is an apocalyptic number.

388814400 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 388814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779588992).

388814400 is an abundant number, since it is smaller than the sum of its proper divisors (1170363584).

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

388814400 is a wasteful number, since it uses less digits than its factorization.

388814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 388814400 is about 19718.3772151767. The cubic root of 388814400 is about 729.8732500272.

The spelling of 388814400 in words is "three hundred eighty-eight million, eight hundred fourteen thousand, four hundred".