561716400 has 360 divisors, whose sum is σ = 2153393424. Its totient is φ = 124723200.

The previous prime is 561716387. The next prime is 561716401. The reversal of 561716400 is 4617165.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (561716401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2410684 + ... + 2410916.

Almost surely, 2^561716400 is an apocalyptic number.

561716400 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 561716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076696712).

561716400 is an abundant number, since it is smaller than the sum of its proper divisors (1591677024).

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

561716400 is a wasteful number, since it uses less digits than its factorization.

561716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 561716400 is about 23700.5569554810. The cubic root of 561716400 is about 825.0983170248.

The spelling of 561716400 in words is "five hundred sixty-one million, seven hundred sixteen thousand, four hundred".