409836672 has 160 divisors (see below), whose sum is σ = 1394152320. Its totient is φ = 117075456.

The previous prime is 409836659. The next prime is 409836683. The reversal of 409836672 is 276638904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69753 + ... + 75399.

It is an arithmetic number, because the mean of its divisors is an integer number (8713452).

Almost surely, 2^409836672 is an apocalyptic number.

409836672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697076160).

409836672 is an abundant number, since it is smaller than the sum of its proper divisors (984315648).

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

409836672 is an equidigital number, since it uses as much as digits as its factorization.

409836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 409836672 is about 20244.4232320904. The cubic root of 409836672 is about 742.7972241330.

The spelling of 409836672 in words is "four hundred nine million, eight hundred thirty-six thousand, six hundred seventy-two".