404920 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 158080.

The previous prime is 404851. The next prime is 404941. The reversal of 404920 is 29404.

It is a congruent number.

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, 2025 + ... + 2215.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2⁴⁰⁴⁹²⁰ is an apocalyptic number.

404920 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 404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

404920 is an abundant number, since it is smaller than the sum of its proper divisors (528200).

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

404920 is a wasteful number, since it uses less digits than its factorization.

404920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 404920 is about 636.3332460276. Note that the first 3 decimals coincide. The cubic root of 404920 is about 73.9814903791.

The spelling of 404920 in words is "four hundred four thousand, nine hundred twenty".