180450 has 36 divisors (see below), whose sum is σ = 486018. Its totient is φ = 48000.

The previous prime is 180437. The next prime is 180463. The reversal of 180450 is 54081.

180450 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (180437) and next prime (180463).

It can be written as a sum of positive squares in 3 ways, for example, as 173889 + 6561 = 417^2 + 81^2 .

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

It is a Curzon number.

It is an unprimeable number.

180450 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 250 + ... + 650.

2¹⁸⁰⁴⁵⁰ is an apocalyptic number.

180450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243009).

180450 is an abundant number, since it is smaller than the sum of its proper divisors (305568).

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

180450 is a wasteful number, since it uses less digits than its factorization.

180450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 180450 is about 424.7940677552. The cubic root of 180450 is about 56.5091743788.

It can be divided in two parts, 180 and 450, that added together give a triangular number (630 = T₃₅).

The spelling of 180450 in words is "one hundred eighty thousand, four hundred fifty".