561024900 has 144 divisors (see below), whose sum is σ = 1842382080. Its totient is φ = 146390400.

The previous prime is 561024881. The next prime is 561024907. The reversal of 561024900 is 9420165.

561024900 is a `hidden beast` number, since 5 + 610 + 2 + 49 + 0 + 0 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561024907) 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, 124690 + ... + 129110.

It is an arithmetic number, because the mean of its divisors is an integer number (12794320).

Almost surely, 2^561024900 is an apocalyptic number.

561024900 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 561024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921191040).

561024900 is an abundant number, since it is smaller than the sum of its proper divisors (1281357180).

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

561024900 is a wasteful number, since it uses less digits than its factorization.

561024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 561024900 is about 23685.9641982335. The cubic root of 561024900 is about 824.7595993768.

The spelling of 561024900 in words is "five hundred sixty-one million, twenty-four thousand, nine hundred".