563904144 has 60 divisors (see below), whose sum is σ = 1670987916. Its totient is φ = 176910336.

The previous prime is 563904031. The next prime is 563904149. The reversal of 563904144 is 441409365.

563904144 is a `hidden beast` number, since 5 + 639 + 0 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467078544 + 96825600 = 21612^2 + 9840^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 563904099 and 563904108.

It is not an unprimeable number, because it can be changed into a prime (563904149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112729 + ... + 117624.

Almost surely, 2^563904144 is an apocalyptic number.

It is an amenable number.

563904144 is an abundant number, since it is smaller than the sum of its proper divisors (1107083772).

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

563904144 is a wasteful number, since it uses less digits than its factorization.

563904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230384 (or 230375 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 563904144 is about 23746.6659554557. The cubic root of 563904144 is about 826.1681127883.

The spelling of 563904144 in words is "five hundred sixty-three million, nine hundred four thousand, one hundred forty-four".