561420288 has 384 divisors, whose sum is σ = 1981324800. Its totient is φ = 154828800.

The previous prime is 561420287. The next prime is 561420319. The reversal of 561420288 is 882024165.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561420287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907293 + ... + 7907363.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^561420288 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 561420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

561420288 is an abundant number, since it is smaller than the sum of its proper divisors (1419904512).

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

561420288 is a wasteful number, since it uses less digits than its factorization.

561420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 561420288 is about 23694.3091901832. The cubic root of 561420288 is about 824.9533064482.

The spelling of 561420288 in words is "five hundred sixty-one million, four hundred twenty thousand, two hundred eighty-eight".