379598400 has 420 divisors, whose sum is σ = 1457713620. Its totient is φ = 96768000.

The previous prime is 379598369. The next prime is 379598431. The reversal of 379598400 is 4895973.

It is an interprime number because it is at equal distance from previous prime (379598369) and next prime (379598431).

It can be written as a sum of positive squares in 6 ways, for example, as 10036224 + 369562176 = 3168^2 + 19224^2 .

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 59 ways as a sum of consecutive naturals, for example, 3758350 + ... + 3758450.

Almost surely, 2^379598400 is an apocalyptic number.

379598400 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 379598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728856810).

379598400 is an abundant number, since it is smaller than the sum of its proper divisors (1078115220).

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

379598400 is a wasteful number, since it uses less digits than its factorization.

379598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 379598400 is about 19483.2851439381. The cubic root of 379598400 is about 724.0603919791.

The spelling of 379598400 in words is "three hundred seventy-nine million, five hundred ninety-eight thousand, four hundred".