458397 has 18 divisors (see below), whose sum is σ = 697086. Its totient is φ = 290160.

The previous prime is 458377. The next prime is 458399. The reversal of 458397 is 793854.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 34596 = 651^2 + 186^2 .

It is not a de Polignac number, because 458397 - 2⁶ = 458333 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 458397.

It is not an unprimeable number, because it can be changed into a prime (458399) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8623 + ... + 8675.

It is an arithmetic number, because the mean of its divisors is an integer number (38727).

2⁴⁵⁸³⁹⁷ is an apocalyptic number.

It is an amenable number.

458397 is a deficient number, since it is larger than the sum of its proper divisors (238689).

458397 is a wasteful number, since it uses less digits than its factorization.

458397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 458397 is about 677.0502197031. The cubic root of 458397 is about 77.1046533349.

The spelling of 458397 in words is "four hundred fifty-eight thousand, three hundred ninety-seven".