406084920 has 64 divisors (see below), whose sum is σ = 1219691520. Its totient is φ = 108161664.

The previous prime is 406084901. The next prime is 406084961. The reversal of 406084920 is 29480604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145377 + ... + 148143.

It is an arithmetic number, because the mean of its divisors is an integer number (19057680).

Almost surely, 2^406084920 is an apocalyptic number.

406084920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406084920 is an abundant number, since it is smaller than the sum of its proper divisors (813606600).

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

406084920 is a wasteful number, since it uses less digits than its factorization.

406084920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 406084920 is about 20151.5488238497. The cubic root of 406084920 is about 740.5236857977.

The spelling of 406084920 in words is "four hundred six million, eighty-four thousand, nine hundred twenty".