561234240 has 504 divisors, whose sum is σ = 2324066472. Its totient is φ = 123863040.

The previous prime is 561234239. The next prime is 561234253. The reversal of 561234240 is 42432165.

561234240 is a `hidden beast` number, since 5 + 612 + 3 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 561121344 = 336^2 + 23688^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5785872 + ... + 5785968.

It is an arithmetic number, because the mean of its divisors is an integer number (4611243).

Almost surely, 2^561234240 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 561234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162033236).

561234240 is an abundant number, since it is smaller than the sum of its proper divisors (1762832232).

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

561234240 is a wasteful number, since it uses less digits than its factorization.

561234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 561234240 is about 23690.3828588733. The cubic root of 561234240 is about 824.8621698119.

The spelling of 561234240 in words is "five hundred sixty-one million, two hundred thirty-four thousand, two hundred forty".