564148480 has 144 divisors (see below), whose sum is σ = 1565867520. Its totient is φ = 190734336.

The previous prime is 564148421. The next prime is 564148489. The reversal of 564148480 is 84841465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (564148489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707442 + ... + 708238.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^564148480 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 564148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

564148480 is an abundant number, since it is smaller than the sum of its proper divisors (1001719040).

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

564148480 is an equidigital number, since it uses as much as digits as its factorization.

564148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 564148480 is about 23751.8100362899. The cubic root of 564148480 is about 826.2874199826.

The spelling of 564148480 in words is "five hundred sixty-four million, one hundred forty-eight thousand, four hundred eighty".