379264400 has 60 divisors (see below), whose sum is σ = 915998292. Its totient is φ = 150904320.

The previous prime is 379264381. The next prime is 379264427. The reversal of 379264400 is 4462973.

It can be written as a sum of positive squares in 6 ways, for example, as 35236096 + 344028304 = 5936^2 + 18548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76394 + ... + 81206.

Almost surely, 2^379264400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457999146).

379264400 is an abundant number, since it is smaller than the sum of its proper divisors (536733892).

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

379264400 is a wasteful number, since it uses less digits than its factorization.

379264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 379264400 is about 19474.7118078805. The cubic root of 379264400 is about 723.8479682401.

The spelling of 379264400 in words is "three hundred seventy-nine million, two hundred sixty-four thousand, four hundred".