375468800 has 324 divisors, whose sum is σ = 1167164880. Its totient is φ = 116981760.

The previous prime is 375468787. The next prime is 375468809. The reversal of 375468800 is 8864573.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (375468809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12947186 + ... + 12947214.

Almost surely, 2^375468800 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 375468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583582440).

375468800 is an abundant number, since it is smaller than the sum of its proper divisors (791696080).

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

375468800 is a wasteful number, since it uses less digits than its factorization.

375468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 375468800 is about 19377.0173143340. The cubic root of 375468800 is about 721.4251607291.

The spelling of 375468800 in words is "three hundred seventy-five million, four hundred sixty-eight thousand, eight hundred".