456856889 has 16 divisors (see below), whose sum is σ = 495243264. Its totient is φ = 420195600.

The previous prime is 456856879. The next prime is 456856901. The reversal of 456856889 is 988658654.

It is a cyclic number.

It is not a de Polignac number, because 456856889 - 2²⁰ = 455808313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456856819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114254 + ... + 118184.

It is an arithmetic number, because the mean of its divisors is an integer number (30952704).

Almost surely, 2^456856889 is an apocalyptic number.

It is an amenable number.

456856889 is a deficient number, since it is larger than the sum of its proper divisors (38386375).

456856889 is a wasteful number, since it uses less digits than its factorization.

456856889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148.

The product of its digits is 16588800, while the sum is 59.

The square root of 456856889 is about 21374.2108392333. The cubic root of 456856889 is about 770.1820500565.

It can be divided in two parts, 4568 and 56889, that multiplied together give a palindrome (259868952).

The spelling of 456856889 in words is "four hundred fifty-six million, eight hundred fifty-six thousand, eight hundred eighty-nine".