457953 has 8 divisors (see below), whose sum is σ = 637248. Its totient is φ = 291984.

The previous prime is 457943. The next prime is 457979. The reversal of 457953 is 359754.

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

It is not a de Polignac number, because 457953 - 2⁶ = 457889 is a prime.

457953 is a lucky number.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (79656).

2⁴⁵⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

457953 is a deficient number, since it is larger than the sum of its proper divisors (179295).

457953 is a wasteful number, since it uses less digits than its factorization.

457953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663.

The product of its digits is 18900, while the sum is 33.

The square root of 457953 is about 676.7222473068. The cubic root of 457953 is about 77.0797509576.

The spelling of 457953 in words is "four hundred fifty-seven thousand, nine hundred fifty-three".