457353 has 16 divisors (see below), whose sum is σ = 730240. Its totient is φ = 281232.

The previous prime is 457339. The next prime is 457363. The reversal of 457353 is 353754.

It is a happy number.

It is not a de Polignac number, because 457353 - 2⁸ = 457097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (457333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (45640).

2⁴⁵⁷³⁵³ is an apocalyptic number.

It is an amenable number.

457353 is a deficient number, since it is larger than the sum of its proper divisors (272887).

457353 is a wasteful number, since it uses less digits than its factorization.

457353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 457353 is about 676.2787886663. The cubic root of 457353 is about 77.0460735111.

The spelling of 457353 in words is "four hundred fifty-seven thousand, three hundred fifty-three".