561957480 has 512 divisors, whose sum is σ = 2298240000. Its totient is φ = 121927680.

The previous prime is 561957467. The next prime is 561957503. The reversal of 561957480 is 84759165.

561957480 is a `hidden beast` number, since 561 + 9 + 5 + 7 + 4 + 80 = 666.

561957480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13706260 + ... + 13706300.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^561957480 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 561957480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120000).

561957480 is an abundant number, since it is smaller than the sum of its proper divisors (1736282520).

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

561957480 is a wasteful number, since it uses less digits than its factorization.

561957480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 561957480 is about 23705.6423663228. The cubic root of 561957480 is about 825.2163399584.

The spelling of 561957480 in words is "five hundred sixty-one million, nine hundred fifty-seven thousand, four hundred eighty".