450688 has 32 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 192768.

The previous prime is 450677. The next prime is 450691. The reversal of 450688 is 886054.

450688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

450688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 645 + ... + 1147.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

450688 is a Friedman number, since it can be written as 8048*56, using all its digits and the basic arithmetic operations.

2⁴⁵⁰⁶⁸⁸ 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 450688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

450688 is an abundant number, since it is smaller than the sum of its proper divisors (577472).

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

450688 is an equidigital number, since it uses as much as digits as its factorization.

450688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 450688 is about 671.3330023170. Note that the first 3 decimals coincide. The cubic root of 450688 is about 76.6699767527.

The spelling of 450688 in words is "four hundred fifty thousand, six hundred eighty-eight".