409229640 has 48 divisors (see below), whose sum is σ = 1329997500. Its totient is φ = 109127808.

The previous prime is 409229633. The next prime is 409229669. The reversal of 409229640 is 46922904.

409229640 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 2 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 401842116 + 7387524 = 20046^2 + 2718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409229595 and 409229604.

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, 568015 + ... + 568734.

Almost surely, 2^409229640 is an apocalyptic number.

409229640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409229640 is an abundant number, since it is smaller than the sum of its proper divisors (920767860).

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

409229640 is a wasteful number, since it uses less digits than its factorization.

409229640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136766 (or 1136759 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 409229640 is about 20229.4251030522. The cubic root of 409229640 is about 742.4303100936.

The spelling of 409229640 in words is "four hundred nine million, two hundred twenty-nine thousand, six hundred forty".