566401248 has 480 divisors, whose sum is σ = 2107607040. Its totient is φ = 145566720.

The previous prime is 566401237. The next prime is 566401249. The reversal of 566401248 is 842104665.

566401248 is a `hidden beast` number, since 5 + 6 + 6 + 401 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566401249) 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 79 ways as a sum of consecutive naturals, for example, 10686790 + ... + 10686842.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2^566401248 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 566401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

566401248 is an abundant number, since it is smaller than the sum of its proper divisors (1541205792).

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

566401248 is a wasteful number, since it uses less digits than its factorization.

566401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 566401248 is about 23799.1858684284. The cubic root of 566401248 is about 827.3858079086.

The spelling of 566401248 in words is "five hundred sixty-six million, four hundred one thousand, two hundred forty-eight".