404304000 has 128 divisors (see below), whose sum is σ = 1340426880. Its totient is φ = 107801600.

The previous prime is 404303989. The next prime is 404304001. The reversal of 404304000 is 403404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (404304001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43789 + ... + 52211.

It is an arithmetic number, because the mean of its divisors is an integer number (10472085).

Almost surely, 2^404304000 is an apocalyptic number.

404304000 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 404304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670213440).

404304000 is an abundant number, since it is smaller than the sum of its proper divisors (936122880).

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

404304000 is an equidigital number, since it uses as much as digits as its factorization.

404304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 404304000 is about 20107.3121028147. The cubic root of 404304000 is about 739.4395561724.

Adding to 404304000 its reverse (403404), we get a palindrome (404707404).

The spelling of 404304000 in words is "four hundred four million, three hundred four thousand".