560795400 has 288 divisors, whose sum is σ = 2132676000. Its totient is φ = 135820800.

The previous prime is 560795357. The next prime is 560795419. The reversal of 560795400 is 4597065.

560795400 is a `hidden beast` number, since 5 + 607 + 9 + 5 + 40 + 0 = 666.

It is a super-2 number, since 2×560795400² = 628982961322320000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 534076 + ... + 535124.

It is an arithmetic number, because the mean of its divisors is an integer number (7405125).

Almost surely, 2^560795400 is an apocalyptic number.

560795400 is a gapful number since it is divisible by the number (50) 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 560795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066338000).

560795400 is an abundant number, since it is smaller than the sum of its proper divisors (1571880600).

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

560795400 is a wasteful number, since it uses less digits than its factorization.

560795400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 560795400 is about 23681.1190613957. The cubic root of 560795400 is about 824.6471218118.

The spelling of 560795400 in words is "five hundred sixty million, seven hundred ninety-five thousand, four hundred".