563407950 has 192 divisors, whose sum is σ = 1737031680. Its totient is φ = 117936000.

The previous prime is 563407877. The next prime is 563407961. The reversal of 563407950 is 59704365.

563407950 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 563407899 and 563407908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617995 + ... + 618905.

It is an arithmetic number, because the mean of its divisors is an integer number (9047040).

Almost surely, 2^563407950 is an apocalyptic number.

563407950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 563407950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868515840).

563407950 is an abundant number, since it is smaller than the sum of its proper divisors (1173623730).

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

563407950 is a wasteful number, since it uses less digits than its factorization.

563407950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 563407950 is about 23736.2160000283. The cubic root of 563407950 is about 825.9257193705.

The spelling of 563407950 in words is "five hundred sixty-three million, four hundred seven thousand, nine hundred fifty".