457506 has 24 divisors (see below), whose sum is σ = 1133184. Its totient is φ = 130680.

The previous prime is 457469. The next prime is 457507. The reversal of 457506 is 605754.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 457506.

It is not an unprimeable number, because it can be changed into a prime (457507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (47216).

2⁴⁵⁷⁵⁰⁶ is an apocalyptic number.

457506 is an abundant number, since it is smaller than the sum of its proper divisors (675678).

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

457506 is a wasteful number, since it uses less digits than its factorization.

457506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 457506 is about 676.3918982365. The cubic root of 457506 is about 77.0546640564.

The spelling of 457506 in words is "four hundred fifty-seven thousand, five hundred six".