456536 has 16 divisors (see below), whose sum is σ = 864000. Its totient is φ = 226144.

The previous prime is 456529. The next prime is 456539. The reversal of 456536 is 635654.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 456499 and 456508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456539) by changing a digit.

456536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁴⁵⁶⁵³⁶ is an apocalyptic number.

It is an amenable number.

456536 is a deficient number, since it is larger than the sum of its proper divisors (407464).

456536 is a wasteful number, since it uses less digits than its factorization.

456536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 456536 is about 675.6744778368. The cubic root of 456536 is about 77.0001686621. Note that the first 3 decimals are identical.

The spelling of 456536 in words is "four hundred fifty-six thousand, five hundred thirty-six".