410560560 has 240 divisors, whose sum is σ = 1436292000. Its totient is φ = 105025536.

The previous prime is 410560543. The next prime is 410560567. The reversal of 410560560 is 65065014.

It is a happy number.

410560560 is a `hidden beast` number, since 41 + 0 + 5 + 60 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (410560567) by changing a digit.

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, 2755366 + ... + 2755514.

It is an arithmetic number, because the mean of its divisors is an integer number (5984550).

Almost surely, 2^410560560 is an apocalyptic number.

410560560 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 410560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718146000).

410560560 is an abundant number, since it is smaller than the sum of its proper divisors (1025731440).

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

410560560 is a wasteful number, since it uses less digits than its factorization.

410560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 410560560 is about 20262.2940458379. The cubic root of 410560560 is about 743.2342972126.

The spelling of 410560560 in words is "four hundred ten million, five hundred sixty thousand, five hundred sixty".