456338 has 8 divisors (see below), whose sum is σ = 687420. Its totient is φ = 227200.

The previous prime is 456329. The next prime is 456349. The reversal of 456338 is 833654.

It can be written as a sum of positive squares in 2 ways, for example, as 444889 + 11449 = 667^2 + 107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 456338.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 518 + ... + 1086.

2⁴⁵⁶³³⁸ is an apocalyptic number.

456338 is a deficient number, since it is larger than the sum of its proper divisors (231082).

456338 is a wasteful number, since it uses less digits than its factorization.

456338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972.

The product of its digits is 8640, while the sum is 29.

The square root of 456338 is about 675.5279416871. The cubic root of 456338 is about 76.9890353758.

The spelling of 456338 in words is "four hundred fifty-six thousand, three hundred thirty-eight".