456741 has 12 divisors (see below), whose sum is σ = 694720. Its totient is φ = 288360.

The previous prime is 456737. The next prime is 456763. The reversal of 456741 is 147654.

It is not a de Polignac number, because 456741 - 2² = 456737 is a prime.

It is a super-2 number, since 2×456741² = 417224682162, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456791) 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, 1165 + ... + 1506.

2⁴⁵⁶⁷⁴¹ is an apocalyptic number.

It is an amenable number.

456741 is a deficient number, since it is larger than the sum of its proper divisors (237979).

456741 is a wasteful number, since it uses less digits than its factorization.

456741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2693 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 456741 is about 675.8261610799. The cubic root of 456741 is about 77.0116921583.

It can be divided in two parts, 45 and 6741, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 456741 in words is "four hundred fifty-six thousand, seven hundred forty-one".