561254320 has 80 divisors (see below), whose sum is σ = 1507323168. Its totient is φ = 192081920.

The previous prime is 561254299. The next prime is 561254329. The reversal of 561254320 is 23452165.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (561254329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799 + ... + 33718.

Almost surely, 2^561254320 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 561254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753661584).

561254320 is an abundant number, since it is smaller than the sum of its proper divisors (946068848).

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

561254320 is a wasteful number, since it uses less digits than its factorization.

561254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37558 (or 37552 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 561254320 is about 23690.8066557473. The cubic root of 561254320 is about 824.8720070799.

The spelling of 561254320 in words is "five hundred sixty-one million, two hundred fifty-four thousand, three hundred twenty".