456797 has 8 divisors (see below), whose sum is σ = 503712. Its totient is φ = 410800.

The previous prime is 456791. The next prime is 456809. The reversal of 456797 is 797654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456797 - 2¹² = 452701 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 456797.

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 7 ways as a sum of consecutive naturals, for example, 1283 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (62964).

2⁴⁵⁶⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

456797 is a deficient number, since it is larger than the sum of its proper divisors (46915).

456797 is a wasteful number, since it uses less digits than its factorization.

456797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459.

The product of its digits is 52920, while the sum is 38.

The square root of 456797 is about 675.8675905827. The cubic root of 456797 is about 77.0148394405.

It can be divided in two parts, 4567 and 97, that added together give a palindrome (4664).

The spelling of 456797 in words is "four hundred fifty-six thousand, seven hundred ninety-seven".