457359 has 16 divisors (see below), whose sum is σ = 721920. Its totient is φ = 252000.

The previous prime is 457339. The next prime is 457363. The reversal of 457359 is 953754.

It is not a de Polignac number, because 457359 - 2¹⁶ = 391823 is a prime.

457359 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457319) 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 15 ways as a sum of consecutive naturals, for example, 234 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (45120).

2⁴⁵⁷³⁵⁹ is an apocalyptic number.

457359 is a deficient number, since it is larger than the sum of its proper divisors (264561).

457359 is a wasteful number, since it uses less digits than its factorization.

457359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its digits is 18900, while the sum is 33.

The square root of 457359 is about 676.2832246921. The cubic root of 457359 is about 77.0464104314.

The spelling of 457359 in words is "four hundred fifty-seven thousand, three hundred fifty-nine".