379901400 has 96 divisors (see below), whose sum is σ = 1189544400. Its totient is φ = 100288000.

The previous prime is 379901383. The next prime is 379901407. The reversal of 379901400 is 4109973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379901407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57466 + ... + 63734.

Almost surely, 2^379901400 is an apocalyptic number.

379901400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594772200).

379901400 is an abundant number, since it is smaller than the sum of its proper divisors (809643000).

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

379901400 is a wasteful number, since it uses less digits than its factorization.

379901400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 379901400 is about 19491.0594889041. The cubic root of 379901400 is about 724.2529919754.

The spelling of 379901400 in words is "three hundred seventy-nine million, nine hundred one thousand, four hundred".