456133566 has 64 divisors (see below), whose sum is σ = 1081737216. Its totient is φ = 125474400.

The previous prime is 456133549. The next prime is 456133567. The reversal of 456133566 is 665331654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456133567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289561 + ... + 291131.

It is an arithmetic number, because the mean of its divisors is an integer number (16902144).

Almost surely, 2^456133566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456133566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540868608).

456133566 is an abundant number, since it is smaller than the sum of its proper divisors (625603650).

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

456133566 is a wasteful number, since it uses less digits than its factorization.

456133566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837.

The product of its digits is 194400, while the sum is 39.

The square root of 456133566 is about 21357.2836755988. The cubic root of 456133566 is about 769.7753693435.

The spelling of 456133566 in words is "four hundred fifty-six million, one hundred thirty-three thousand, five hundred sixty-six".