376982400 has 192 divisors, whose sum is σ = 1256705280. Its totient is φ = 99317760.

The previous prime is 376982387. The next prime is 376982483. The reversal of 376982400 is 4289673.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027017 + ... + 1027383.

It is an arithmetic number, because the mean of its divisors is an integer number (6545340).

Almost surely, 2^376982400 is an apocalyptic number.

376982400 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 376982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628352640).

376982400 is an abundant number, since it is smaller than the sum of its proper divisors (879722880).

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

376982400 is a wasteful number, since it uses less digits than its factorization.

376982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 376982400 is about 19416.0346105996. The cubic root of 376982400 is about 722.3932705537.

The spelling of 376982400 in words is "three hundred seventy-six million, nine hundred eighty-two thousand, four hundred".