409397583660 has 96 divisors (see below), whose sum is σ = 1235690975232. Its totient is φ = 100676847360.

The previous prime is 409397583659. The next prime is 409397583703. The reversal of 409397583660 is 66385793904.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 409397583594 and 409397583603.

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, 549637 + ... + 1058723.

It is an arithmetic number, because the mean of its divisors is an integer number (12871780992).

Almost surely, 2^409397583660 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 409397583660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617845487616).

409397583660 is an abundant number, since it is smaller than the sum of its proper divisors (826293391572).

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

409397583660 is a wasteful number, since it uses less digits than its factorization.

409397583660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510143 (or 510141 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 409397583660 in words is "four hundred nine billion, three hundred ninety-seven million, five hundred eighty-three thousand, six hundred sixty".