404520960 has 128 divisors (see below), whose sum is σ = 1296020160. Its totient is φ = 107741184.

The previous prime is 404520947. The next prime is 404521003. The reversal of 404520960 is 69025404.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491109 + ... + 491931.

Almost surely, 2^404520960 is an apocalyptic number.

404520960 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 404520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648010080).

404520960 is an abundant number, since it is smaller than the sum of its proper divisors (891499200).

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

404520960 is an frugal number, since it uses more digits than its factorization.

404520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 404520960 is about 20112.7064315074. The cubic root of 404520960 is about 739.5717999938.

The spelling of 404520960 in words is "four hundred four million, five hundred twenty thousand, nine hundred sixty".