563603040 has 1152 divisors, whose sum is σ = 2853107712. Its totient is φ = 97320960.

The previous prime is 563603009. The next prime is 563603069. The reversal of 563603040 is 40306365.

563603040 is a `hidden beast` number, since 56 + 3 + 603 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563602995 and 563603013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24504469 + ... + 24504491.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^563603040 is an apocalyptic number.

563603040 is the 15015-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

563603040 is an abundant number, since it is smaller than the sum of its proper divisors (2289504672).

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

563603040 is a wasteful number, since it uses less digits than its factorization.

563603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 563603040 is about 23740.3251873263. The cubic root of 563603040 is about 826.0210388480.

The spelling of 563603040 in words is "five hundred sixty-three million, six hundred three thousand, forty".