564540480 has 336 divisors, whose sum is σ = 2276636544. Its totient is φ = 125706240.

The previous prime is 564540401. The next prime is 564540517. The reversal of 564540480 is 84045465.

564540480 is a `hidden beast` number, since 5 + 645 + 4 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 826219 + ... + 826901.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^564540480 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 564540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138318272).

564540480 is an abundant number, since it is smaller than the sum of its proper divisors (1712096064).

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

564540480 is a wasteful number, since it uses less digits than its factorization.

564540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 564540480 is about 23760.0606059833. The cubic root of 564540480 is about 826.4787583075.

The spelling of 564540480 in words is "five hundred sixty-four million, five hundred forty thousand, four hundred eighty".