404930800 has 60 divisors (see below), whose sum is σ = 982042056. Its totient is φ = 160441600.

The previous prime is 404930783. The next prime is 404930863. The reversal of 404930800 is 8039404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38070 + ... + 47530.

Almost surely, 2^404930800 is an apocalyptic number.

404930800 is a gapful number since it is divisible by the number (40) 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 404930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491021028).

404930800 is an abundant number, since it is smaller than the sum of its proper divisors (577111256).

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

404930800 is a wasteful number, since it uses less digits than its factorization.

404930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 404930800 is about 20122.8924362279. The cubic root of 404930800 is about 739.8214811642.

The spelling of 404930800 in words is "four hundred four million, nine hundred thirty thousand, eight hundred".