376468400 has 240 divisors, whose sum is σ = 1195637760. Its totient is φ = 110284800.

The previous prime is 376468363. The next prime is 376468403. The reversal of 376468400 is 4864673.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (376468403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523241 + ... + 523959.

It is an arithmetic number, because the mean of its divisors is an integer number (4981824).

Almost surely, 2^376468400 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 376468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818880).

376468400 is an abundant number, since it is smaller than the sum of its proper divisors (819169360).

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

376468400 is a wasteful number, since it uses less digits than its factorization.

376468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 376468400 is about 19402.7936132919. The cubic root of 376468400 is about 722.0648033853.

The spelling of 376468400 in words is "three hundred seventy-six million, four hundred sixty-eight thousand, four hundred".