388441200 has 240 divisors, whose sum is σ = 1436979456. Its totient is φ = 87859200.

The previous prime is 388441171. The next prime is 388441219. The reversal of 388441200 is 2144883.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1100224 + ... + 1100576.

Almost surely, 2^388441200 is an apocalyptic number.

388441200 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 388441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718489728).

388441200 is an abundant number, since it is smaller than the sum of its proper divisors (1048538256).

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

388441200 is a wasteful number, since it uses less digits than its factorization.

388441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 388441200 is about 19708.9116898930. The cubic root of 388441200 is about 729.6396545179.

The spelling of 388441200 in words is "three hundred eighty-eight million, four hundred forty-one thousand, two hundred".