561372240 has 240 divisors, whose sum is σ = 2061368064. Its totient is φ = 125537280.

The previous prime is 561372223. The next prime is 561372269. The reversal of 561372240 is 42273165.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 561372198 and 561372207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376777 + ... + 378263.

Almost surely, 2^561372240 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 561372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030684032).

561372240 is an abundant number, since it is smaller than the sum of its proper divisors (1499995824).

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

561372240 is a wasteful number, since it uses less digits than its factorization.

561372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 561372240 is about 23693.2952541431. The cubic root of 561372240 is about 824.9297717998.

The spelling of 561372240 in words is "five hundred sixty-one million, three hundred seventy-two thousand, two hundred forty".