560405301408 has 168 divisors, whose sum is σ = 1707553362816. Its totient is φ = 180775670400.

The previous prime is 560405301371. The next prime is 560405301409. The reversal of 560405301408 is 804103504065.

It is a happy number.

560405301408 is a `hidden beast` number, since 5 + 604 + 0 + 5 + 3 + 0 + 1 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (560405301409) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 335703 + ... + 1110633.

It is an arithmetic number, because the mean of its divisors is an integer number (10164008112).

Almost surely, 2^560405301408 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 560405301408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853776681408).

560405301408 is an abundant number, since it is smaller than the sum of its proper divisors (1147148061408).

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

560405301408 is an equidigital number, since it uses as much as digits as its factorization.

560405301408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774990 (or 774967 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 560405301408 in words is "five hundred sixty billion, four hundred five million, three hundred one thousand, four hundred eight".