561446460 has 72 divisors (see below), whose sum is σ = 1707241536. Its totient is φ = 149351040.

The previous prime is 561446429. The next prime is 561446477. The reversal of 561446460 is 64644165.

561446460 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 4 + 646 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73962 + ... + 81198.

It is an arithmetic number, because the mean of its divisors is an integer number (23711688).

Almost surely, 2^561446460 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 561446460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853620768).

561446460 is an abundant number, since it is smaller than the sum of its proper divisors (1145795076).

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

561446460 is a wasteful number, since it uses less digits than its factorization.

561446460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 561446460 is about 23694.8614682593. The cubic root of 561446460 is about 824.9661253309.

The spelling of 561446460 in words is "five hundred sixty-one million, four hundred forty-six thousand, four hundred sixty".