506457 has 12 divisors (see below), whose sum is σ = 836160. Its totient is φ = 289368.

The previous prime is 506449. The next prime is 506459. The reversal of 506457 is 754605.

It is not a de Polignac number, because 506457 - 2³ = 506449 is a prime.

506457 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 506457.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506457.

It is not an unprimeable number, because it can be changed into a prime (506459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3957 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (69680).

2⁵⁰⁶⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

506457 is a deficient number, since it is larger than the sum of its proper divisors (329703).

506457 is a wasteful number, since it uses less digits than its factorization.

506457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8049 counting only the distinct ones).

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

The square root of 506457 is about 711.6579234436. The cubic root of 506457 is about 79.7102539405.

The spelling of 506457 in words is "five hundred six thousand, four hundred fifty-seven".