457641 has 6 divisors (see below), whose sum is σ = 661050. Its totient is φ = 305088.

The previous prime is 457621. The next prime is 457643. The reversal of 457641 is 146754.

It can be written as a sum of positive squares in only one way, i.e., 416025 + 41616 = 645^2 + 204^2 .

It is not a de Polignac number, because 457641 - 2⁵ = 457609 is a prime.

It is a Curzon number.

457641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (457643) 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 5 ways as a sum of consecutive naturals, for example, 25416 + ... + 25433.

It is an arithmetic number, because the mean of its divisors is an integer number (110175).

2⁴⁵⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

457641 is a deficient number, since it is larger than the sum of its proper divisors (203409).

457641 is a wasteful number, since it uses less digits than its factorization.

457641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50852 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 457641 is about 676.4916850930. The cubic root of 457641 is about 77.0622423590.

The spelling of 457641 in words is "four hundred fifty-seven thousand, six hundred forty-one".