457413 has 16 divisors (see below), whose sum is σ = 677376. Its totient is φ = 272240.

The previous prime is 457411. The next prime is 457421. The reversal of 457413 is 314754.

It is not a de Polignac number, because 457413 - 2¹ = 457411 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457413.

It is not an unprimeable number, because it can be changed into a prime (457411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁴⁵⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

457413 is a deficient number, since it is larger than the sum of its proper divisors (219963).

457413 is a wasteful number, since it uses less digits than its factorization.

457413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 1680, while the sum is 24.

The square root of 457413 is about 676.3231476151. The cubic root of 457413 is about 77.0494425807.

The spelling of 457413 in words is "four hundred fifty-seven thousand, four hundred thirteen".