409604580 has 192 divisors, whose sum is σ = 1588930560. Its totient is φ = 85104000.

The previous prime is 409604551. The next prime is 409604593. The reversal of 409604580 is 85406904.

409604580 is a `hidden beast` number, since 40 + 9 + 604 + 5 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 36655 + ... + 46505.

It is an arithmetic number, because the mean of its divisors is an integer number (8275680).

Almost surely, 2^409604580 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 409604580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794465280).

409604580 is an abundant number, since it is smaller than the sum of its proper divisors (1179325980).

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

409604580 is a wasteful number, since it uses less digits than its factorization.

409604580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 409604580 is about 20238.6901750089. The cubic root of 409604580 is about 742.6569813986.

The spelling of 409604580 in words is "four hundred nine million, six hundred four thousand, five hundred eighty".