456538341 has 12 divisors (see below), whose sum is σ = 708100512. Its totient is φ = 260878968.

The previous prime is 456538331. The next prime is 456538351. The reversal of 456538341 is 143835654.

It is an interprime number because it is at equal distance from previous prime (456538331) and next prime (456538351).

It is not a de Polignac number, because 456538341 - 2⁵ = 456538309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456538341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456538331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552705 + ... + 1552998.

It is an arithmetic number, because the mean of its divisors is an integer number (59008376).

Almost surely, 2^456538341 is an apocalyptic number.

It is an amenable number.

456538341 is a deficient number, since it is larger than the sum of its proper divisors (251562171).

456538341 is a wasteful number, since it uses less digits than its factorization.

456538341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105720 (or 3105713 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 456538341 is about 21366.7578495194. The cubic root of 456538341 is about 770.0030027431.

The spelling of 456538341 in words is "four hundred fifty-six million, five hundred thirty-eight thousand, three hundred forty-one".