450360 has 80 divisors (see below), whose sum is σ = 1524600. Its totient is φ = 119232.

The previous prime is 450349. The next prime is 450361. The reversal of 450360 is 63054.

It is a happy number.

450360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3171 + ... + 3309.

2⁴⁵⁰³⁶⁰ is an apocalyptic number.

450360 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 450360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762300).

450360 is an abundant number, since it is smaller than the sum of its proper divisors (1074240).

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

450360 is a wasteful number, since it uses less digits than its factorization.

450360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450360 is about 671.0886677631. The cubic root of 450360 is about 76.6513727107.

The spelling of 450360 in words is "four hundred fifty thousand, three hundred sixty".