457071 has 8 divisors (see below), whose sum is σ = 612864. Its totient is φ = 303000.

The previous prime is 457057. The next prime is 457087. The reversal of 457071 is 170754.

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

It is not a de Polignac number, because 457071 - 2⁹ = 456559 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

457071 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457001) 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, 450 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2⁴⁵⁷⁰⁷¹ is an apocalyptic number.

457071 is a deficient number, since it is larger than the sum of its proper divisors (155793).

457071 is a wasteful number, since it uses less digits than its factorization.

457071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 457071 is about 676.0702626207. The cubic root of 457071 is about 77.0302349358.

It can be divided in two parts, 4 and 57071, that added together give a palindrome (57075).

The spelling of 457071 in words is "four hundred fifty-seven thousand, seventy-one".