457460 has 24 divisors (see below), whose sum is σ = 975240. Its totient is φ = 180224.

The previous prime is 457459. The next prime is 457469. The reversal of 457460 is 64754.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 357604 = 316^2 + 598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457469) 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, 1652 + ... + 1908.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2⁴⁵⁷⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

457460 is an abundant number, since it is smaller than the sum of its proper divisors (517780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457460 is a wasteful number, since it uses less digits than its factorization.

457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 457460 is about 676.3578934263. The cubic root of 457460 is about 77.0520814795.

The spelling of 457460 in words is "four hundred fifty-seven thousand, four hundred sixty".