563310048 has 96 divisors (see below), whose sum is σ = 1713229056. Its totient is φ = 158727168.

The previous prime is 563310047. The next prime is 563310091. The reversal of 563310048 is 840013365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×563310048⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 563309997 and 563310024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563310047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43315 + ... + 54797.

It is an arithmetic number, because the mean of its divisors is an integer number (17846136).

Almost surely, 2^563310048 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 563310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856614528).

563310048 is an abundant number, since it is smaller than the sum of its proper divisors (1149919008).

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

563310048 is a wasteful number, since it uses less digits than its factorization.

563310048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 563310048 is about 23734.1536187832. The cubic root of 563310048 is about 825.8778769124.

The spelling of 563310048 in words is "five hundred sixty-three million, three hundred ten thousand, forty-eight".