450600 has 48 divisors (see below), whose sum is σ = 1398720. Its totient is φ = 120000.

The previous prime is 450599. The next prime is 450601. The reversal of 450600 is 6054.

It is an interprime number because it is at equal distance from previous prime (450599) and next prime (450601).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 450600.

It is not an unprimeable number, because it can be changed into a prime (450601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (29140).

2⁴⁵⁰⁶⁰⁰ is an apocalyptic number.

450600 is a gapful number since it is divisible by the number (40) 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 450600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699360).

450600 is an abundant number, since it is smaller than the sum of its proper divisors (948120).

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

450600 is a wasteful number, since it uses less digits than its factorization.

450600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 450600 is about 671.2674578735. The cubic root of 450600 is about 76.6649863106.

Adding to 450600 its reverse (6054), we get a palindrome (456654).

The spelling of 450600 in words is "four hundred fifty thousand, six hundred".