563745420 has 288 divisors, whose sum is σ = 2063513088. Its totient is φ = 126531072.

The previous prime is 563745383. The next prime is 563745421. The reversal of 563745420 is 24547365.

563745420 is a `hidden beast` number, since 563 + 74 + 5 + 4 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (563745421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2483347 + ... + 2483573.

It is an arithmetic number, because the mean of its divisors is an integer number (7164976).

Almost surely, 2^563745420 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 563745420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031756544).

563745420 is an abundant number, since it is smaller than the sum of its proper divisors (1499767668).

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

563745420 is a wasteful number, since it uses less digits than its factorization.

563745420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 563745420 is about 23743.3236931985. The cubic root of 563745420 is about 826.0905907400.

The spelling of 563745420 in words is "five hundred sixty-three million, seven hundred forty-five thousand, four hundred twenty".