409400656 has 40 divisors (see below), whose sum is σ = 937797120. Its totient is φ = 169405824.

The previous prime is 409400653. The next prime is 409400659. The reversal of 409400656 is 656004904.

It is an interprime number because it is at equal distance from previous prime (409400653) and next prime (409400659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409400653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59776 + ... + 66271.

It is an arithmetic number, because the mean of its divisors is an integer number (23444928).

Almost surely, 2^409400656 is an apocalyptic number.

It is an amenable number.

409400656 is an abundant number, since it is smaller than the sum of its proper divisors (528396464).

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

409400656 is a wasteful number, since it uses less digits than its factorization.

409400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126091 (or 126085 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 409400656 is about 20233.6515735544. The cubic root of 409400656 is about 742.5337155878.

The spelling of 409400656 in words is "four hundred nine million, four hundred thousand, six hundred fifty-six".