457825671 has 12 divisors (see below), whose sum is σ = 662018760. Its totient is φ = 304887120.

The previous prime is 457825633. The next prime is 457825681. The reversal of 457825671 is 176528754.

457825671 is a `hidden beast` number, since 4 + 5 + 7 + 82 + 567 + 1 = 666.

It is not a de Polignac number, because 457825671 - 2¹⁸ = 457563527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457825681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18561 + ... + 35498.

It is an arithmetic number, because the mean of its divisors is an integer number (55168230).

Almost surely, 2^457825671 is an apocalyptic number.

457825671 is a deficient number, since it is larger than the sum of its proper divisors (204193089).

457825671 is a wasteful number, since it uses less digits than its factorization.

457825671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55006 (or 55003 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 457825671 is about 21396.8612417803. The cubic root of 457825671 is about 770.7260655826.

The spelling of 457825671 in words is "four hundred fifty-seven million, eight hundred twenty-five thousand, six hundred seventy-one".