408920 has 16 divisors (see below), whose sum is σ = 920160. Its totient is φ = 163552.

The previous prime is 408913. The next prime is 408923. The reversal of 408920 is 29804.

It is a super-3 number, since 3×408920³ = 205133368236864000, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408920.

It is not an unprimeable number, because it can be changed into a prime (408923) by changing a digit.

408920 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 3 ways as a sum of consecutive naturals, for example, 5072 + ... + 5151.

It is an arithmetic number, because the mean of its divisors is an integer number (57510).

2⁴⁰⁸⁹²⁰ is an apocalyptic number.

408920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408920 is an abundant number, since it is smaller than the sum of its proper divisors (511240).

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

408920 is a wasteful number, since it uses less digits than its factorization.

408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 408920 is about 639.4685293273. The cubic root of 408920 is about 74.2243011730.

The spelling of 408920 in words is "four hundred eight thousand, nine hundred twenty".