561420240 has 160 divisors (see below), whose sum is σ = 1893093120. Its totient is φ = 137060352.

The previous prime is 561420239. The next prime is 561420241. The reversal of 561420240 is 42024165.

561420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (561420239) and next prime (561420241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 561420240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561420241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149101 + ... + 152819.

It is an arithmetic number, because the mean of its divisors is an integer number (11831832).

Almost surely, 2^561420240 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 561420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946546560).

561420240 is an abundant number, since it is smaller than the sum of its proper divisors (1331672880).

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

561420240 is a wasteful number, since it uses less digits than its factorization.

561420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 561420240 is about 23694.3081772817. The cubic root of 561420240 is about 824.9532829377.

The spelling of 561420240 in words is "five hundred sixty-one million, four hundred twenty thousand, two hundred forty".