561750480 has 120 divisors (see below), whose sum is σ = 1894164480. Its totient is φ = 149195520.

The previous prime is 561750479. The next prime is 561750487. The reversal of 561750480 is 84057165.

561750480 is a `hidden beast` number, since 5 + 6 + 175 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561750487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193681 + ... + 196559.

It is an arithmetic number, because the mean of its divisors is an integer number (15784704).

Almost surely, 2^561750480 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 561750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947082240).

561750480 is an abundant number, since it is smaller than the sum of its proper divisors (1332414000).

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

561750480 is a wasteful number, since it uses less digits than its factorization.

561750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3160 counting only the distinct ones).

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

The square root of 561750480 is about 23701.2759150220. The cubic root of 561750480 is about 825.1150032518.

The spelling of 561750480 in words is "five hundred sixty-one million, seven hundred fifty thousand, four hundred eighty".