387872400 has 120 divisors (see below), whose sum is σ = 1248223680. Its totient is φ = 102955520.

The previous prime is 387872399. The next prime is 387872453. The reversal of 387872400 is 4278783.

It is a tau number, because it is divible by the number of its divisors (120).

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, 314986 + ... + 316214.

It is an arithmetic number, because the mean of its divisors is an integer number (10401864).

Almost surely, 2^387872400 is an apocalyptic number.

387872400 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 387872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624111840).

387872400 is an abundant number, since it is smaller than the sum of its proper divisors (860351280).

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

387872400 is a wasteful number, since it uses less digits than its factorization.

387872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 387872400 is about 19694.4763829862. The cubic root of 387872400 is about 729.2833399515.

The spelling of 387872400 in words is "three hundred eighty-seven million, eight hundred seventy-two thousand, four hundred".