456806439 has 32 divisors (see below), whose sum is σ = 718165440. Its totient is φ = 285981696.

The previous prime is 456806437. The next prime is 456806443. The reversal of 456806439 is 934608654.

It is not a de Polignac number, because 456806439 - 2¹ = 456806437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456806394 and 456806403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456806437) 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, 282397 + ... + 284009.

It is an arithmetic number, because the mean of its divisors is an integer number (22442670).

Almost surely, 2^456806439 is an apocalyptic number.

456806439 is a deficient number, since it is larger than the sum of its proper divisors (261359001).

456806439 is a wasteful number, since it uses less digits than its factorization.

456806439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 456806439 is about 21373.0306461204. The cubic root of 456806439 is about 770.1536990085.

The spelling of 456806439 in words is "four hundred fifty-six million, eight hundred six thousand, four hundred thirty-nine".