457633 has 4 divisors (see below), whose sum is σ = 499248. Its totient is φ = 416020.

The previous prime is 457621. The next prime is 457643. The reversal of 457633 is 336754.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 457633 - 2¹³ = 449441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20791 + ... + 20812.

It is an arithmetic number, because the mean of its divisors is an integer number (124812).

2⁴⁵⁷⁶³³ is an apocalyptic number.

It is an amenable number.

457633 is a deficient number, since it is larger than the sum of its proper divisors (41615).

457633 is a wasteful number, since it uses less digits than its factorization.

457633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41614.

The product of its digits is 7560, while the sum is 28.

The square root of 457633 is about 676.4857722081. The cubic root of 457633 is about 77.0617933159.

The spelling of 457633 in words is "four hundred fifty-seven thousand, six hundred thirty-three".