379932400 has 120 divisors (see below), whose sum is σ = 969518304. Its totient is φ = 142771200.

The previous prime is 379932389. The next prime is 379932433. The reversal of 379932400 is 4239973.

It is a self number, because there is not a number n which added to its sum of digits gives 379932400.

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, 560862 + ... + 561538.

Almost surely, 2^379932400 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 379932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484759152).

379932400 is an abundant number, since it is smaller than the sum of its proper divisors (589585904).

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

379932400 is a wasteful number, since it uses less digits than its factorization.

379932400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 379932400 is about 19491.8547090830. The cubic root of 379932400 is about 724.2726911500.

The spelling of 379932400 in words is "three hundred seventy-nine million, nine hundred thirty-two thousand, four hundred".