406923120 has 60 divisors (see below), whose sum is σ = 1366585896. Its totient is φ = 108512640.

The previous prime is 406923109. The next prime is 406923149. The reversal of 406923120 is 21329604.

406923120 is a `hidden beast` number, since 406 + 9 + 231 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281866 + ... + 283305.

Almost surely, 2^406923120 is an apocalyptic number.

406923120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406923120 is an abundant number, since it is smaller than the sum of its proper divisors (959662776).

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

406923120 is a wasteful number, since it uses less digits than its factorization.

406923120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565190 (or 565181 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406923120 is about 20172.3355117844. The cubic root of 406923120 is about 741.0328406935.

The spelling of 406923120 in words is "four hundred six million, nine hundred twenty-three thousand, one hundred twenty".