457513 has 6 divisors (see below), whose sum is σ = 532266. Its totient is φ = 392112.

The previous prime is 457511. The next prime is 457517. The reversal of 457513 is 315754.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 5929 = 672^2 + 77^2 .

It is not a de Polignac number, because 457513 - 2¹ = 457511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4620 + ... + 4717.

It is an arithmetic number, because the mean of its divisors is an integer number (88711).

2⁴⁵⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

457513 is a deficient number, since it is larger than the sum of its proper divisors (74753).

457513 is an equidigital number, since it uses as much as digits as its factorization.

457513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351 (or 9344 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 457513 is about 676.3970727317. The cubic root of 457513 is about 77.0550570421.

It can be divided in two parts, 45751 and 3, that added together give a palindrome (45754).

The spelling of 457513 in words is "four hundred fifty-seven thousand, five hundred thirteen".