404560000 has 160 divisors (see below), whose sum is σ = 1087386300. Its totient is φ = 148992000.

The previous prime is 404559929. The next prime is 404560021. The reversal of 404560000 is 65404.

It can be written as a sum of positive squares in 10 ways, for example, as 135862336 + 268697664 = 11656^2 + 16392^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 404560000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039806 + ... + 1040194.

Almost surely, 2^404560000 is an apocalyptic number.

404560000 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 404560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543693150).

404560000 is an abundant number, since it is smaller than the sum of its proper divisors (682826300).

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

404560000 is an equidigital number, since it uses as much as digits as its factorization.

404560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 404560000 is about 20113.6769388394. The cubic root of 404560000 is about 739.5955910596.

The spelling of 404560000 in words is "four hundred four million, five hundred sixty thousand".