560000400 has 240 divisors, whose sum is σ = 1925751744. Its totient is φ = 138608640.

The previous prime is 560000387. The next prime is 560000401. The reversal of 560000400 is 4000065.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 560000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560000401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978659 + ... + 1978941.

Almost surely, 2^560000400 is an apocalyptic number.

560000400 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 560000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962875872).

560000400 is an abundant number, since it is smaller than the sum of its proper divisors (1365751344).

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

560000400 is a wasteful number, since it uses less digits than its factorization.

560000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 560000400 is about 23664.3275839395. The cubic root of 560000400 is about 824.2572562133.

Adding to 560000400 its reverse (4000065), we get a palindrome (564000465).

The spelling of 560000400 in words is "five hundred sixty million, four hundred", and thus it is an aban number.