409614660 has 288 divisors, whose sum is σ = 1620283392. Its totient is φ = 81285120.

The previous prime is 409614619. The next prime is 409614707. The reversal of 409614660 is 66416904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277725 + ... + 279195.

It is an arithmetic number, because the mean of its divisors is an integer number (5625984).

Almost surely, 2^409614660 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 409614660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810141696).

409614660 is an abundant number, since it is smaller than the sum of its proper divisors (1210668732).

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

409614660 is a wasteful number, since it uses less digits than its factorization.

409614660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 409614660 is about 20238.9392014503. The cubic root of 409614660 is about 742.6630733885.

The spelling of 409614660 in words is "four hundred nine million, six hundred fourteen thousand, six hundred sixty".