374952000 has 224 divisors, whose sum is σ = 1312346880. Its totient is φ = 94003200.

The previous prime is 374951987. The next prime is 374952001. The reversal of 374952000 is 259473.

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

It is not an unprimeable number, because it can be changed into a prime (374952001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407541 + ... + 408459.

Almost surely, 2^374952000 is an apocalyptic number.

374952000 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 374952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656173440).

374952000 is an abundant number, since it is smaller than the sum of its proper divisors (937394880).

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

374952000 is a wasteful number, since it uses less digits than its factorization.

374952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 374952000 is about 19363.6773367044. The cubic root of 374952000 is about 721.0940158500.

The spelling of 374952000 in words is "three hundred seventy-four million, nine hundred fifty-two thousand".