394804800 has 672 divisors, whose sum is σ = 1675587200. Its totient is φ = 89579520.

The previous prime is 394804799. The next prime is 394804807. The reversal of 394804800 is 8408493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (394804807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10670382 + ... + 10670418.

Almost surely, 2^394804800 is an apocalyptic number.

394804800 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 394804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837793600).

394804800 is an abundant number, since it is smaller than the sum of its proper divisors (1280782400).

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

394804800 is a wasteful number, since it uses less digits than its factorization.

394804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 394804800 is about 19869.6955185529. The cubic root of 394804800 is about 733.6025090820.

The spelling of 394804800 in words is "three hundred ninety-four million, eight hundred four thousand, eight hundred".