450060 has 48 divisors (see below), whose sum is σ = 1359456. Its totient is φ = 110592.

The previous prime is 450029. The next prime is 450067. The reversal of 450060 is 60054.

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

It is not an unprimeable number, because it can be changed into a prime (450067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (28322).

2⁴⁵⁰⁰⁶⁰ 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 450060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679728).

450060 is an abundant number, since it is smaller than the sum of its proper divisors (909396).

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

450060 is a wasteful number, since it uses less digits than its factorization.

450060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

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

The square root of 450060 is about 670.8651131189. The cubic root of 450060 is about 76.6343489077.

It can be divided in two parts, 4500 and 60, that added together give a triangular number (4560 = T₉₅).

The spelling of 450060 in words is "four hundred fifty thousand, sixty".