538306560 has 480 divisors, whose sum is σ = 2140538400. Its totient is φ = 128286720.

The previous prime is 538306481. The next prime is 538306567. The reversal of 538306560 is 65603835.

538306560 is a `hidden beast` number, since 538 + 3 + 0 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (538306567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123811 + ... + 9123869.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2^538306560 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 538306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070269200).

538306560 is an abundant number, since it is smaller than the sum of its proper divisors (1602231840).

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

538306560 is a wasteful number, since it uses less digits than its factorization.

538306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 538306560 is about 23201.4344384135. The cubic root of 538306560 is about 813.4731522294.

The spelling of 538306560 in words is "five hundred thirty-eight million, three hundred six thousand, five hundred sixty".