561350460 has 144 divisors (see below), whose sum is σ = 1741759488. Its totient is φ = 134977920.

The previous prime is 561350441. The next prime is 561350483. The reversal of 561350460 is 64053165.

561350460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×561350460² = 630228677884423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212189 + ... + 1212651.

It is an arithmetic number, because the mean of its divisors is an integer number (12095552).

Almost surely, 2^561350460 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 561350460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870879744).

561350460 is an abundant number, since it is smaller than the sum of its proper divisors (1180409028).

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

561350460 is a wasteful number, since it uses less digits than its factorization.

561350460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 561350460 is about 23692.8356259862. The cubic root of 561350460 is about 824.9191031789.

The spelling of 561350460 in words is "five hundred sixty-one million, three hundred fifty thousand, four hundred sixty".