455656509 has 80 divisors (see below), whose sum is σ = 868876800. Its totient is φ = 231063840.

The previous prime is 455656501. The next prime is 455656571. The reversal of 455656509 is 905656554.

455656509 is a `hidden beast` number, since 45 + 56 + 56 + 509 = 666.

It is not a de Polignac number, because 455656509 - 2³ = 455656501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455656501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267342 + ... + 269040.

It is an arithmetic number, because the mean of its divisors is an integer number (10860960).

Almost surely, 2^455656509 is an apocalyptic number.

It is an amenable number.

455656509 is a deficient number, since it is larger than the sum of its proper divisors (413220291).

455656509 is a wasteful number, since it uses less digits than its factorization.

455656509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 455656509 is about 21346.1122689824. The cubic root of 455656509 is about 769.5069137461.

Adding to 455656509 its sum of digits (45), we get a palindrome (455656554).

The spelling of 455656509 in words is "four hundred fifty-five million, six hundred fifty-six thousand, five hundred nine".