563946240 has 432 divisors, whose sum is σ = 2154539520. Its totient is φ = 124600320.

The previous prime is 563946233. The next prime is 563946283. The reversal of 563946240 is 42649365.

It is a super-2 number, since 2×563946240² = 636070723220275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 7138521 + ... + 7138599.

It is an arithmetic number, because the mean of its divisors is an integer number (4987360).

Almost surely, 2^563946240 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 563946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077269760).

563946240 is an abundant number, since it is smaller than the sum of its proper divisors (1590593280).

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

563946240 is a wasteful number, since it uses less digits than its factorization.

563946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 563946240 is about 23747.5522949208. The cubic root of 563946240 is about 826.1886703647.

The spelling of 563946240 in words is "five hundred sixty-three million, nine hundred forty-six thousand, two hundred forty".