456738 has 8 divisors (see below), whose sum is σ = 913488. Its totient is φ = 152244.

The previous prime is 456737. The next prime is 456763. The reversal of 456738 is 837654.

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

456738 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 456699 and 456708.

It is not an unprimeable number, because it can be changed into a prime (456737) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38056 + ... + 38067.

It is an arithmetic number, because the mean of its divisors is an integer number (114186).

2⁴⁵⁶⁷³⁸ is an apocalyptic number.

456738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

456738 is a wasteful number, since it uses less digits than its factorization.

456738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76128.

The product of its digits is 20160, while the sum is 33.

The square root of 456738 is about 675.8239415706. The cubic root of 456738 is about 77.0115235466.

The spelling of 456738 in words is "four hundred fifty-six thousand, seven hundred thirty-eight".