408505940 has 24 divisors (see below), whose sum is σ = 858366600. Its totient is φ = 163306368.

The previous prime is 408505939. The next prime is 408505957. The reversal of 408505940 is 49505804.

It can be written as a sum of positive squares in 4 ways, for example, as 30514576 + 377991364 = 5524^2 + 19442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 408505940.

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 7 ways as a sum of consecutive naturals, for example, 36086 + ... + 46034.

It is an arithmetic number, because the mean of its divisors is an integer number (35765275).

Almost surely, 2^408505940 is an apocalyptic number.

It is an amenable number.

408505940 is an abundant number, since it is smaller than the sum of its proper divisors (449860660).

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

408505940 is a wasteful number, since it uses less digits than its factorization.

408505940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 408505940 is about 20211.5298777703. The cubic root of 408505940 is about 741.9924028642.

The spelling of 408505940 in words is "four hundred eight million, five hundred five thousand, nine hundred forty".