396459 has 36 divisors (see below), whose sum is σ = 711360. Its totient is φ = 211680.

The previous prime is 396449. The next prime is 396479. The reversal of 396459 is 954693.

396459 = 7³ + 8³ + ... + 35³.

396459 is a `hidden beast` number, since 3 + 9 + 645 + 9 = 666.

It is not a de Polignac number, because 396459 - 2⁴ = 396443 is a prime.

396459 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (396449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12774 + ... + 12804.

It is an arithmetic number, because the mean of its divisors is an integer number (19760).

2³⁹⁶⁴⁵⁹ is an apocalyptic number.

396459 is a deficient number, since it is larger than the sum of its proper divisors (314901).

396459 is a wasteful number, since it uses less digits than its factorization.

396459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 396459 is about 629.6499027237. The cubic root of 396459 is about 73.4625659719.

Adding to 396459 its sum of digits (36), we get a triangular number (396495 = T₈₉₀).

The spelling of 396459 in words is "three hundred ninety-six thousand, four hundred fifty-nine".