456438 has 16 divisors (see below), whose sum is σ = 921600. Its totient is φ = 150696.

The previous prime is 456427. The next prime is 456439. The reversal of 456438 is 834654.

456438 is nontrivially palindromic in base 16.

It is a d-powerful number, because it can be written as 4³ + 5⁷ + 4⁸ + 6⁷ + 3² + 8⁵ .

456438 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2⁴⁵⁶⁴³⁸ is an apocalyptic number.

456438 is an abundant number, since it is smaller than the sum of its proper divisors (465162).

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

456438 is a wasteful number, since it uses less digits than its factorization.

456438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its digits is 11520, while the sum is 30.

The square root of 456438 is about 675.6019538160. The cubic root of 456438 is about 76.9946586501.

The spelling of 456438 in words is "four hundred fifty-six thousand, four hundred thirty-eight".