456252165 has 12 divisors (see below), whose sum is σ = 790837164. Its totient is φ = 243334464.

The previous prime is 456252163. The next prime is 456252169. The reversal of 456252165 is 561252654.

456252165 is a `hidden beast` number, since 4 + 5 + 625 + 21 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246552804 + 209699361 = 15702^2 + 14481^2 .

It is not a de Polignac number, because 456252165 - 2¹ = 456252163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456252163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5069424 + ... + 5069513.

It is an arithmetic number, because the mean of its divisors is an integer number (65903097).

Almost surely, 2^456252165 is an apocalyptic number.

456252165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456252165 is a deficient number, since it is larger than the sum of its proper divisors (334584999).

456252165 is a wasteful number, since it uses less digits than its factorization.

456252165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138948 (or 10138945 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 456252165 is about 21360.0600420504. The cubic root of 456252165 is about 769.8420798310.

The spelling of 456252165 in words is "four hundred fifty-six million, two hundred fifty-two thousand, one hundred sixty-five".