456951 has 16 divisors (see below), whose sum is σ = 678528. Its totient is φ = 271200.

The previous prime is 456949. The next prime is 456959. The reversal of 456951 is 159654.

Added to its reverse (159654) it gives a triangular number (616605 = T₁₁₁₀).

It is not a de Polignac number, because 456951 - 2¹ = 456949 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456951.

It is not an unprimeable number, because it can be changed into a prime (456959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2⁴⁵⁶⁹⁵¹ is an apocalyptic number.

456951 is a deficient number, since it is larger than the sum of its proper divisors (221577).

456951 is a wasteful number, since it uses less digits than its factorization.

456951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its digits is 5400, while the sum is 30.

The square root of 456951 is about 675.9815086228. The cubic root of 456951 is about 77.0234931406.

Adding to 456951 its reverse (159654), we get a triangular number (616605 = T₁₁₁₀).

It can be divided in two parts, 45 and 6951, that added together give a palindrome (6996).

The spelling of 456951 in words is "four hundred fifty-six thousand, nine hundred fifty-one".