456633 has 12 divisors (see below), whose sum is σ = 666900. Its totient is φ = 301056.

The previous prime is 456623. The next prime is 456641. The reversal of 456633 is 336654.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 345744 = 333^2 + 588^2 .

It is not a de Polignac number, because 456633 - 2⁸ = 456377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456597 and 456606.

It is not an unprimeable number, because it can be changed into a prime (456613) 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, 793 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2⁴⁵⁶⁶³³ is an apocalyptic number.

It is an amenable number.

456633 is a deficient number, since it is larger than the sum of its proper divisors (210267).

456633 is a wasteful number, since it uses less digits than its factorization.

456633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 456633 is about 675.7462541517. The cubic root of 456633 is about 77.0056216731.

It can be divided in two parts, 456 and 633, that added together give a square (1089 = 33²).

The spelling of 456633 in words is "four hundred fifty-six thousand, six hundred thirty-three".