379957200 has 120 divisors (see below), whose sum is σ = 1391035968. Its totient is φ = 86845440.

The previous prime is 379957199. The next prime is 379957213. The reversal of 379957200 is 2759973.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 14217 + ... + 31016.

Almost surely, 2^379957200 is an apocalyptic number.

379957200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379957200 is an abundant number, since it is smaller than the sum of its proper divisors (1011078768).

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

379957200 is a wasteful number, since it uses less digits than its factorization.

379957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45261 (or 45250 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 379957200 is about 19492.4908618678. The cubic root of 379957200 is about 724.2884497183.

The spelling of 379957200 in words is "three hundred seventy-nine million, nine hundred fifty-seven thousand, two hundred".