379142400 has 648 divisors, whose sum is σ = 1618063104. Its totient is φ = 77414400.

The previous prime is 379142399. The next prime is 379142411. The reversal of 379142400 is 4241973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12230385 + ... + 12230415.

Almost surely, 2^379142400 is an apocalyptic number.

379142400 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 379142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809031552).

379142400 is an abundant number, since it is smaller than the sum of its proper divisors (1238920704).

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

379142400 is a wasteful number, since it uses less digits than its factorization.

379142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 379142400 is about 19471.5792887994. The cubic root of 379142400 is about 723.7703452390.

The spelling of 379142400 in words is "three hundred seventy-nine million, one hundred forty-two thousand, four hundred".