409606560 has 288 divisors, whose sum is σ = 1606288320. Its totient is φ = 94003200.

The previous prime is 409606543. The next prime is 409606583. The reversal of 409606560 is 65606904.

It is a happy number.

409606560 is a `hidden beast` number, since 4 + 0 + 96 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300280 + ... + 301640.

It is an arithmetic number, because the mean of its divisors is an integer number (5577390).

Almost surely, 2^409606560 is an apocalyptic number.

409606560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803144160).

409606560 is an abundant number, since it is smaller than the sum of its proper divisors (1196681760).

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

409606560 is a wasteful number, since it uses less digits than its factorization.

409606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 409606560 is about 20238.7390911588. The cubic root of 409606560 is about 742.6581780473.

The spelling of 409606560 in words is "four hundred nine million, six hundred six thousand, five hundred sixty".