379879400 has 48 divisors (see below), whose sum is σ = 894436800. Its totient is φ = 150022080.

The previous prime is 379879397. The next prime is 379879403. The reversal of 379879400 is 4978973.

It is an interprime number because it is at equal distance from previous prime (379879397) and next prime (379879403).

It is not an unprimeable number, because it can be changed into a prime (379879403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3779 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (18634100).

Almost surely, 2^379879400 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 379879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447218400).

379879400 is an abundant number, since it is smaller than the sum of its proper divisors (514557400).

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

379879400 is a wasteful number, since it uses less digits than its factorization.

379879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24138 (or 24129 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 379879400 is about 19490.4951194165. The cubic root of 379879400 is about 724.2390112658.

The spelling of 379879400 in words is "three hundred seventy-nine million, eight hundred seventy-nine thousand, four hundred".