379877400 has 432 divisors, whose sum is σ = 1529868600. Its totient is φ = 84188160.

The previous prime is 379877387. The next prime is 379877413. The reversal of 379877400 is 4778973.

It is an interprime number because it is at equal distance from previous prime (379877387) and next prime (379877413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5203764 + ... + 5203836.

Almost surely, 2^379877400 is an apocalyptic number.

379877400 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 379877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764934300).

379877400 is an abundant number, since it is smaller than the sum of its proper divisors (1149991200).

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

379877400 is a wasteful number, since it uses less digits than its factorization.

379877400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 379877400 is about 19490.4438122891. The cubic root of 379877400 is about 724.2377402655.

The spelling of 379877400 in words is "three hundred seventy-nine million, eight hundred seventy-seven thousand, four hundred".