457249 has 8 divisors (see below), whose sum is σ = 521640. Its totient is φ = 397056.

The previous prime is 457241. The next prime is 457253. The reversal of 457249 is 942754.

It can be written as a sum of positive squares in 4 ways, for example, as 11025 + 446224 = 105^2 + 668^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 457249 - 2³ = 457241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457249.

It is not an unprimeable number, because it can be changed into a prime (457241) 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, 814 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (65205).

2⁴⁵⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

457249 is a deficient number, since it is larger than the sum of its proper divisors (64391).

457249 is a wasteful number, since it uses less digits than its factorization.

457249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099.

The product of its digits is 10080, while the sum is 31.

The square root of 457249 is about 676.2018929284. The cubic root of 457249 is about 77.0402330924.

The spelling of 457249 in words is "four hundred fifty-seven thousand, two hundred forty-nine".