404880 has 80 divisors (see below), whose sum is σ = 1440384. Its totient is φ = 92160.

The previous prime is 404851. The next prime is 404941. The reversal of 404880 is 88404.

404880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 404880.

It is an unprimeable number.

404880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560 + ... + 1800.

2⁴⁰⁴⁸⁸⁰ is an apocalyptic number.

404880 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 404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192).

404880 is an abundant number, since it is smaller than the sum of its proper divisors (1035504).

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

404880 is a wasteful number, since it uses less digits than its factorization.

404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 404880 is about 636.3018151789. The cubic root of 404880 is about 73.9790542131.

The spelling of 404880 in words is "four hundred four thousand, eight hundred eighty".