379056400 has 30 divisors (see below), whose sum is σ = 910683962. Its totient is φ = 151622400.

The previous prime is 379056397. The next prime is 379056407. The reversal of 379056400 is 4650973.

It can be written as a sum of positive squares in 3 ways, for example, as 23658496 + 355397904 = 4864^2 + 18852^2 .

It is not an unprimeable number, because it can be changed into a prime (379056407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473421 + ... + 474220.

Almost surely, 2^379056400 is an apocalyptic number.

It is an amenable number.

379056400 is an abundant number, since it is smaller than the sum of its proper divisors (531627562).

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

379056400 is a wasteful number, since it uses less digits than its factorization.

379056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947659 (or 947648 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 379056400 is about 19469.3708167470. The cubic root of 379056400 is about 723.7156173790.

It can be divided in two parts, 379056 and 400, that added together give a square (379456 = 616²).

The spelling of 379056400 in words is "three hundred seventy-nine million, fifty-six thousand, four hundred".