450882 has 24 divisors (see below), whose sum is σ = 1004796. Its totient is φ = 146016.

The previous prime is 450881. The next prime is 450883. The reversal of 450882 is 288054.

It is an interprime number because it is at equal distance from previous prime (450881) and next prime (450883).

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 136161 = 561^2 + 369^2 .

It is not an unprimeable number, because it can be changed into a prime (450881) 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, 328 + ... + 1004.

2⁴⁵⁰⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502398).

450882 is an abundant number, since it is smaller than the sum of its proper divisors (553914).

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

450882 is a wasteful number, since it uses less digits than its factorization.

450882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450882 is about 671.4774754227. The cubic root of 450882 is about 76.6809761150.

It can be divided in two parts, 450 and 882, that multiplied together give a square (396900 = 630²).

The spelling of 450882 in words is "four hundred fifty thousand, eight hundred eighty-two".