457967 has 4 divisors (see below), whose sum is σ = 459480. Its totient is φ = 456456.

The previous prime is 457943. The next prime is 457979. The reversal of 457967 is 769754.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 457967 - 2⁶ = 457903 is a prime.

It is a Duffinian number.

Its product of digits (52920) is a multiple of the sum of its prime divisors (1512).

It is a self number, because there is not a number n which added to its sum of digits gives 457967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457987) 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, 128 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (114870).

2⁴⁵⁷⁹⁶⁷ is an apocalyptic number.

457967 is a deficient number, since it is larger than the sum of its proper divisors (1513).

457967 is a wasteful number, since it uses less digits than its factorization.

457967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its digits is 52920, while the sum is 38.

The square root of 457967 is about 676.7325912057. The cubic root of 457967 is about 77.0805364134.

The spelling of 457967 in words is "four hundred fifty-seven thousand, nine hundred sixty-seven".