404506880 has 72 divisors (see below), whose sum is σ = 982787904. Its totient is φ = 159488000.

The previous prime is 404506871. The next prime is 404506897. The reversal of 404506880 is 88605404.

It is a self number, because there is not a number n which added to its sum of digits gives 404506880.

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, 88655 + ... + 93105.

It is an arithmetic number, because the mean of its divisors is an integer number (13649832).

Almost surely, 2^404506880 is an apocalyptic number.

404506880 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 404506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491393952).

404506880 is an abundant number, since it is smaller than the sum of its proper divisors (578281024).

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

404506880 is an equidigital number, since it uses as much as digits as its factorization.

404506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 404506880 is about 20112.3564009790. The cubic root of 404506880 is about 739.5632192339.

The spelling of 404506880 in words is "four hundred four million, five hundred six thousand, eight hundred eighty".