409598764224 has 224 divisors, whose sum is σ = 1249350816000. Its totient is φ = 117372727296.

The previous prime is 409598764207. The next prime is 409598764231. The reversal of 409598764224 is 422467895904.

It is a happy number.

It is a super-2 number, since 2×409598764224² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724822 + ... + 2871210.

It is an arithmetic number, because the mean of its divisors is an integer number (5577459000).

Almost surely, 2^409598764224 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 409598764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624675408000).

409598764224 is an abundant number, since it is smaller than the sum of its proper divisors (839752051776).

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

409598764224 is a wasteful number, since it uses less digits than its factorization.

409598764224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146495 (or 146485 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 409598764224 in words is "four hundred nine billion, five hundred ninety-eight million, seven hundred sixty-four thousand, two hundred twenty-four".