409583616 has 120 divisors (see below), whose sum is σ = 1178039184. Its totient is φ = 125829120.

The previous prime is 409583549. The next prime is 409583639. The reversal of 409583616 is 616385904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638656 + ... + 639296.

Almost surely, 2^409583616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589019592).

409583616 is an abundant number, since it is smaller than the sum of its proper divisors (768455568).

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

409583616 is an equidigital number, since it uses as much as digits as its factorization.

409583616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 409583616 is about 20238.1722494893. The cubic root of 409583616 is about 742.6443111898.

The spelling of 409583616 in words is "four hundred nine million, five hundred eighty-three thousand, six hundred sixteen".