379400 has 48 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 129600.

The previous prime is 379399. The next prime is 379417. The reversal of 379400 is 4973.

379400 is a Rhonda number in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1265 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (21080).

2³⁷⁹⁴⁰⁰ 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 379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920).

379400 is an abundant number, since it is smaller than the sum of its proper divisors (632440).

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

379400 is a wasteful number, since it uses less digits than its factorization.

379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 379400 is about 615.9545437774. The cubic root of 379400 is about 72.3934224766.

The spelling of 379400 in words is "three hundred seventy-nine thousand, four hundred".