561305472 has 128 divisors (see below), whose sum is σ = 1835151360. Its totient is φ = 148027392.

The previous prime is 561305471. The next prime is 561305477. The reversal of 561305472 is 274503165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561305471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26913 + ... + 42975.

It is an arithmetic number, because the mean of its divisors is an integer number (14337120).

Almost surely, 2^561305472 is an apocalyptic number.

561305472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917575680).

561305472 is an abundant number, since it is smaller than the sum of its proper divisors (1273845888).

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

561305472 is a wasteful number, since it uses less digits than its factorization.

561305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16088 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 561305472 is about 23691.8862060411. The cubic root of 561305472 is about 824.8970655781.

The spelling of 561305472 in words is "five hundred sixty-one million, three hundred five thousand, four hundred seventy-two".