566454144 has 128 divisors (see below), whose sum is σ = 1677369600. Its totient is φ = 168321024.

The previous prime is 566454137. The next prime is 566454149. The reversal of 566454144 is 441454665.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (230400) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566454149) 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, 121749 + ... + 126315.

It is an arithmetic number, because the mean of its divisors is an integer number (13104450).

Almost surely, 2^566454144 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 566454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838684800).

566454144 is an abundant number, since it is smaller than the sum of its proper divisors (1110915456).

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

566454144 is a wasteful number, since it uses less digits than its factorization.

566454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4608 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 566454144 is about 23800.2971410023. The cubic root of 566454144 is about 827.4115635235.

The spelling of 566454144 in words is "five hundred sixty-six million, four hundred fifty-four thousand, one hundred forty-four".