379400868 has 192 divisors, whose sum is σ = 1256048640. Its totient is φ = 96163200.

The previous prime is 379400851. The next prime is 379400869. The reversal of 379400868 is 868004973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (379400869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357058 + ... + 358118.

It is an arithmetic number, because the mean of its divisors is an integer number (6541920).

Almost surely, 2^379400868 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 379400868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628024320).

379400868 is an abundant number, since it is smaller than the sum of its proper divisors (876647772).

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

379400868 is a wasteful number, since it uses less digits than its factorization.

379400868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379400868 is about 19478.2152159791. The cubic root of 379400868 is about 723.9347768437.

The spelling of 379400868 in words is "three hundred seventy-nine million, four hundred thousand, eight hundred sixty-eight".