456045965 has 16 divisors (see below), whose sum is σ = 559711728. Its totient is φ = 356622336.

The previous prime is 456045959. The next prime is 456046009. The reversal of 456045965 is 569540654.

It can be written as a sum of positive squares in 8 ways, for example, as 117375556 + 338670409 = 10834^2 + 18403^2 .

It is a cyclic number.

It is not a de Polignac number, because 456045965 - 2⁶ = 456045901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35717 + ... + 46773.

It is an arithmetic number, because the mean of its divisors is an integer number (34981983).

Almost surely, 2^456045965 is an apocalyptic number.

It is an amenable number.

456045965 is a deficient number, since it is larger than the sum of its proper divisors (103665763).

456045965 is a wasteful number, since it uses less digits than its factorization.

456045965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248.

The product of its (nonzero) digits is 648000, while the sum is 44.

The square root of 456045965 is about 21355.2327311130. The cubic root of 456045965 is about 769.7260874266.

The spelling of 456045965 in words is "four hundred fifty-six million, forty-five thousand, nine hundred sixty-five".