457681 has 8 divisors (see below), whose sum is σ = 527744. Its totient is φ = 388800.

The previous prime is 457679. The next prime is 457687. The reversal of 457681 is 186754.

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

It is a 5-Lehmer number, since φ(457681) divides (457681-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 457681 - 2¹ = 457679 is a prime.

It is a super-2 number, since 2×457681² = 418943795522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

2⁴⁵⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

457681 is a deficient number, since it is larger than the sum of its proper divisors (70063).

457681 is a wasteful number, since it uses less digits than its factorization.

457681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its digits is 6720, while the sum is 31.

The square root of 457681 is about 676.5212487424. The cubic root of 457681 is about 77.0644874957.

The spelling of 457681 in words is "four hundred fifty-seven thousand, six hundred eighty-one".