404680 has 32 divisors (see below), whose sum is σ = 930240. Its totient is φ = 158400.

The previous prime is 404671. The next prime is 404693. The reversal of 404680 is 86404.

It is an unprimeable number.

404680 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 7 ways as a sum of consecutive naturals, for example, 2605 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁴⁰⁴⁶⁸⁰ is an apocalyptic number.

404680 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 404680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

404680 is an abundant number, since it is smaller than the sum of its proper divisors (525560).

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

404680 is a wasteful number, since it uses less digits than its factorization.

404680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 404680 is about 636.1446376415. The cubic root of 404680 is about 73.9668709754.

The spelling of 404680 in words is "four hundred four thousand, six hundred eighty".