450528 has 72 divisors (see below), whose sum is σ = 1344168. Its totient is φ = 131328.

The previous prime is 450503. The next prime is 450529. The reversal of 450528 is 825054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 450498 and 450507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450529) by changing a digit.

450528 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 11 ways as a sum of consecutive naturals, for example, 23703 + ... + 23721.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2⁴⁵⁰⁵²⁸ is an apocalyptic number.

450528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084).

450528 is an abundant number, since it is smaller than the sum of its proper divisors (893640).

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

450528 is a wasteful number, since it uses less digits than its factorization.

450528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 450528 is about 671.2138258409. The cubic root of 450528 is about 76.6609027383.

The spelling of 450528 in words is "four hundred fifty thousand, five hundred twenty-eight".