456045201 has 32 divisors (see below), whose sum is σ = 712896000. Its totient is φ = 287334864.

The previous prime is 456045181. The next prime is 456045203. The reversal of 456045201 is 102540654.

456045201 is a `hidden beast` number, since 4 + 5 + 604 + 52 + 0 + 1 = 666.

It is not a de Polignac number, because 456045201 - 2¹⁰ = 456044177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (456045203) 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, 288030 + ... + 289608.

It is an arithmetic number, because the mean of its divisors is an integer number (22278000).

Almost surely, 2^456045201 is an apocalyptic number.

It is an amenable number.

456045201 is a deficient number, since it is larger than the sum of its proper divisors (256850799).

456045201 is a wasteful number, since it uses less digits than its factorization.

456045201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 456045201 is about 21355.2148432180. The cubic root of 456045201 is about 769.7256575934.

Adding to 456045201 its reverse (102540654), we get a palindrome (558585855).

It can be divided in two parts, 45604 and 5201, that added together give a palindrome (50805).

The spelling of 456045201 in words is "four hundred fifty-six million, forty-five thousand, two hundred one".