456971268 has 144 divisors (see below), whose sum is σ = 1229268096. Its totient is φ = 131788800.

The previous prime is 456971267. The next prime is 456971293. The reversal of 456971268 is 862179654.

It is not an unprimeable number, because it can be changed into a prime (456971267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4524418 + ... + 4524518.

It is an arithmetic number, because the mean of its divisors is an integer number (8536584).

Almost surely, 2^456971268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456971268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614634048).

456971268 is an abundant number, since it is smaller than the sum of its proper divisors (772296828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456971268 is a wasteful number, since it uses less digits than its factorization.

456971268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 456971268 is about 21376.8863027336. The cubic root of 456971268 is about 770.2463191264.

The spelling of 456971268 in words is "four hundred fifty-six million, nine hundred seventy-one thousand, two hundred sixty-eight".