561258720 has 480 divisors, whose sum is σ = 2248114176. Its totient is φ = 130636800.

The previous prime is 561258703. The next prime is 561258749. The reversal of 561258720 is 27852165.

It is a happy number.

561258720 is a `hidden beast` number, since 56 + 1 + 2 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×561258720² = 630022701552076800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419297 + ... + 4419423.

Almost surely, 2^561258720 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 561258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124057088).

561258720 is an abundant number, since it is smaller than the sum of its proper divisors (1686855456).

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

561258720 is a wasteful number, since it uses less digits than its factorization.

561258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 561258720 is about 23690.8995185915. The cubic root of 561258720 is about 824.8741626252.

The spelling of 561258720 in words is "five hundred sixty-one million, two hundred fifty-eight thousand, seven hundred twenty".