457387 has 12 divisors (see below), whose sum is σ = 554736. Its totient is φ = 369360.

The previous prime is 457381. The next prime is 457393. The reversal of 457387 is 783754.

It is an interprime number because it is at equal distance from previous prime (457381) and next prime (457393).

It is not a de Polignac number, because 457387 - 2¹¹ = 455339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457381) 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 11 ways as a sum of consecutive naturals, for example, 2437 + ... + 2617.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

457387 is a Friedman number, since it can be written as 854+77^3, using all its digits and the basic arithmetic operations.

2⁴⁵⁷³⁸⁷ is an apocalyptic number.

457387 is a deficient number, since it is larger than the sum of its proper divisors (97349).

457387 is a wasteful number, since it uses less digits than its factorization.

457387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 457387 is about 676.3039257612. The cubic root of 457387 is about 77.0479826868.

The spelling of 457387 in words is "four hundred fifty-seven thousand, three hundred eighty-seven".