561206464 has 112 divisors (see below), whose sum is σ = 1381036608. Its totient is φ = 220336128.

The previous prime is 561206419. The next prime is 561206473. The reversal of 561206464 is 464602165.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007274 + ... + 1007830.

It is an arithmetic number, because the mean of its divisors is an integer number (12330684).

Almost surely, 2^561206464 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 561206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690518304).

561206464 is an abundant number, since it is smaller than the sum of its proper divisors (819830144).

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

561206464 is a wasteful number, since it uses less digits than its factorization.

561206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 561206464 is about 23689.7966221747. The cubic root of 561206464 is about 824.8485618576.

It can be divided in two parts, 561 and 206464, that added together give a square (207025 = 455²).

The spelling of 561206464 in words is "five hundred sixty-one million, two hundred six thousand, four hundred sixty-four".