560401632 has 384 divisors, whose sum is σ = 1999872000. Its totient is φ = 152409600.

The previous prime is 560401613. The next prime is 560401643. The reversal of 560401632 is 236104065.

560401632 is a `hidden beast` number, since 560 + 40 + 1 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 560401596 and 560401605.

It is a congruent number.

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, 9186882 + ... + 9186942.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^560401632 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 560401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

560401632 is an abundant number, since it is smaller than the sum of its proper divisors (1439470368).

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

560401632 is a wasteful number, since it uses less digits than its factorization.

560401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 560401632 is about 23672.8036362405. The cubic root of 560401632 is about 824.4540652596.

Adding to 560401632 its reverse (236104065), we get a palindrome (796505697).

The spelling of 560401632 in words is "five hundred sixty million, four hundred one thousand, six hundred thirty-two".