460797 has 8 divisors (see below), whose sum is σ = 617760. Its totient is φ = 305520.

The previous prime is 460793. The next prime is 460813. The reversal of 460797 is 797064.

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

It is not a de Polignac number, because 460797 - 2² = 460793 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

460797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

2⁴⁶⁰⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

460797 is a deficient number, since it is larger than the sum of its proper divisors (156963).

460797 is a wasteful number, since it uses less digits than its factorization.

460797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 460797 is about 678.8203002268. The cubic root of 460797 is about 77.2389831484.

The spelling of 460797 in words is "four hundred sixty thousand, seven hundred ninety-seven".