457963 has 16 divisors (see below), whose sum is σ = 552960. Its totient is φ = 374400.

The previous prime is 457943. The next prime is 457979. The reversal of 457963 is 369754.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457903) 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, 5758 + ... + 5836.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁴⁵⁷⁹⁶³ is an apocalyptic number.

457963 is a deficient number, since it is larger than the sum of its proper divisors (94997).

457963 is a wasteful number, since it uses less digits than its factorization.

457963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138.

The product of its digits is 22680, while the sum is 34.

The square root of 457963 is about 676.7296358222. The cubic root of 457963 is about 77.0803119991.

Subtracting from 457963 its reverse (369754), we obtain a square (88209 = 297²).

It can be divided in two parts, 45 and 7963, that added together give a palindrome (8008).

The spelling of 457963 in words is "four hundred fifty-seven thousand, nine hundred sixty-three".