457947 has 16 divisors (see below), whose sum is σ = 775680. Its totient is φ = 261576.

The previous prime is 457943. The next prime is 457979. The reversal of 457947 is 749754.

It is a happy number.

It is not a de Polignac number, because 457947 - 2² = 457943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457943) 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, 1023 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (48480).

2⁴⁵⁷⁹⁴⁷ is an apocalyptic number.

457947 is a deficient number, since it is larger than the sum of its proper divisors (317733).

457947 is a wasteful number, since it uses less digits than its factorization.

457947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 457947 is about 676.7178141589. The cubic root of 457947 is about 77.0794143288.

The spelling of 457947 in words is "four hundred fifty-seven thousand, nine hundred forty-seven".