456484 has 36 divisors (see below), whose sum is σ = 991116. Its totient is φ = 182784.

The previous prime is 456461. The next prime is 456499. The reversal of 456484 is 484654.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 142884 = 560^2 + 378^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3264 + ... + 3400.

It is an arithmetic number, because the mean of its divisors is an integer number (27531).

2⁴⁵⁶⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495558).

456484 is an abundant number, since it is smaller than the sum of its proper divisors (534632).

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

456484 is a wasteful number, since it uses less digits than its factorization.

456484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 456484 is about 675.6359966728. The cubic root of 456484 is about 76.9972450805.

The spelling of 456484 in words is "four hundred fifty-six thousand, four hundred eighty-four".