374928400 has 360 divisors, whose sum is σ = 1198958976. Its totient is φ = 111283200.

The previous prime is 374928373. The next prime is 374928467. The reversal of 374928400 is 4829473.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 374928400.

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, 7977177 + ... + 7977223.

Almost surely, 2^374928400 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 374928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599479488).

374928400 is an abundant number, since it is smaller than the sum of its proper divisors (824030576).

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

374928400 is a wasteful number, since it uses less digits than its factorization.

374928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 374928400 is about 19363.0679387333. The cubic root of 374928400 is about 721.0788866461.

The spelling of 374928400 in words is "three hundred seventy-four million, nine hundred twenty-eight thousand, four hundred".