457997 has 8 divisors (see below), whose sum is σ = 502200. Its totient is φ = 415744.

The previous prime is 457987. The next prime is 458009. The reversal of 457997 is 799754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 434281 = 154^2 + 659^2 .

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

It is not a de Polignac number, because 457997 - 2⁴ = 457981 is a prime.

It is a super-2 number, since 2×457997² = 419522504018, which contains 22 as substring.

It is a Duffinian number.

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 457997.

It is not an unprimeable number, because it can be changed into a prime (457987) 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, 29 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁴⁵⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

457997 is a deficient number, since it is larger than the sum of its proper divisors (44203).

457997 is a wasteful number, since it uses less digits than its factorization.

457997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975.

The product of its digits is 79380, while the sum is 41.

The square root of 457997 is about 676.7547561709. The cubic root of 457997 is about 77.0822194791.

The spelling of 457997 in words is "four hundred fifty-seven thousand, nine hundred ninety-seven".