561192480 has 144 divisors (see below), whose sum is σ = 1925187264. Its totient is φ = 148861440.

The previous prime is 561192439. The next prime is 561192523. The reversal of 561192480 is 84291165.

561192480 is a `hidden beast` number, since 561 + 1 + 92 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 302917 + ... + 304763.

It is an arithmetic number, because the mean of its divisors is an integer number (13369356).

Almost surely, 2^561192480 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 561192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962593632).

561192480 is an abundant number, since it is smaller than the sum of its proper divisors (1363994784).

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

561192480 is a wasteful number, since it uses less digits than its factorization.

561192480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 561192480 is about 23689.5014721712. The cubic root of 561192480 is about 824.8417106785.

The spelling of 561192480 in words is "five hundred sixty-one million, one hundred ninety-two thousand, four hundred eighty".