563490144 has 288 divisors, whose sum is σ = 1975034880. Its totient is φ = 148801536.

The previous prime is 563490127. The next prime is 563490157. The reversal of 563490144 is 441094365.

563490144 is a `hidden beast` number, since 5 + 634 + 9 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×563490144² = 635042284770281472, which contains 22 as substring.

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 = 563490099 and 563490108.

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, 1800132 + ... + 1800444.

It is an arithmetic number, because the mean of its divisors is an integer number (6857760).

Almost surely, 2^563490144 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 563490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987517440).

563490144 is an abundant number, since it is smaller than the sum of its proper divisors (1411544736).

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

563490144 is a wasteful number, since it uses less digits than its factorization.

563490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

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

The square root of 563490144 is about 23737.9473417564. The cubic root of 563490144 is about 825.9658814104.

It can be divided in two parts, 5634 and 90144, that multiplied together give a square (507871296 = 22536²).

The spelling of 563490144 in words is "five hundred sixty-three million, four hundred ninety thousand, one hundred forty-four".