456849 has 12 divisors (see below), whose sum is σ = 688896. Its totient is φ = 291192.

The previous prime is 456821. The next prime is 456871. The reversal of 456849 is 948654.

It is not a de Polignac number, because 456849 - 2¹⁷ = 325777 is a prime.

It is a super-2 number, since 2×456849² = 417422017602, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (456809) 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, 897 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (57408).

2⁴⁵⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

456849 is a deficient number, since it is larger than the sum of its proper divisors (232047).

456849 is a wasteful number, since it uses less digits than its factorization.

456849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2233 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 456849 is about 675.9060585614. The cubic root of 456849 is about 77.0177616866.

The spelling of 456849 in words is "four hundred fifty-six thousand, eight hundred forty-nine".