404480000 has 140 divisors (see below), whose sum is σ = 1023609840. Its totient is φ = 159744000.

The previous prime is 404479993. The next prime is 404480003. The reversal of 404480000 is 84404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404480003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119961 + ... + 5120039.

Almost surely, 2^404480000 is an apocalyptic number.

404480000 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 404480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511804920).

404480000 is an abundant number, since it is smaller than the sum of its proper divisors (619129840).

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

404480000 is an frugal number, since it uses more digits than its factorization.

404480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404480000 is about 20111.6881439625. The cubic root of 404480000 is about 739.5468372301.

The spelling of 404480000 in words is "four hundred four million, four hundred eighty thousand".