450120 has 96 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 105600.

The previous prime is 450113. The next prime is 450127. The reversal of 450120 is 21054.

It is an interprime number because it is at equal distance from previous prime (450113) and next prime (450127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 450096 and 450105.

It is not an unprimeable number, because it can be changed into a prime (450127) by changing a digit.

450120 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 23 ways as a sum of consecutive naturals, for example, 14505 + ... + 14535.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2⁴⁵⁰¹²⁰ is an apocalyptic number.

450120 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 450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

450120 is an abundant number, since it is smaller than the sum of its proper divisors (1082040).

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

450120 is a wasteful number, since it uses less digits than its factorization.

450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 450120 is about 670.9098300070. The cubic root of 450120 is about 76.6377542734.

Adding to 450120 its reverse (21054), we get a palindrome (471174).

The spelling of 450120 in words is "four hundred fifty thousand, one hundred twenty".