456953029 has 32 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 385862400.

The previous prime is 456953027. The next prime is 456953033. The reversal of 456953029 is 920359654.

It is not a de Polignac number, because 456953029 - 2¹ = 456953027 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456953027) 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, 1309147 + ... + 1309495.

It is an arithmetic number, because the mean of its divisors is an integer number (16758000).

Almost surely, 2^456953029 is an apocalyptic number.

It is an amenable number.

456953029 is a deficient number, since it is larger than the sum of its proper divisors (79302971).

456953029 is a wasteful number, since it uses less digits than its factorization.

456953029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 456953029 is about 21376.4596928490. The cubic root of 456953029 is about 770.2360714292.

The spelling of 456953029 in words is "four hundred fifty-six million, nine hundred fifty-three thousand, twenty-nine".