540450 has 36 divisors (see below), whose sum is σ = 1453218. Its totient is φ = 144000.

The previous prime is 540437. The next prime is 540461. The reversal of 540450 is 54045.

540450 = 10² + 11² + ... + 117².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 205209 + 335241 = 453^2 + 579^2 .

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

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151 + ... + 1050.

2⁵⁴⁰⁴⁵⁰ is an apocalyptic number.

540450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726609).

540450 is an abundant number, since it is smaller than the sum of its proper divisors (912768).

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

540450 is a wasteful number, since it uses less digits than its factorization.

540450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 540450 is about 735.1530452906. The cubic root of 540450 is about 81.4551423642.

Adding to 540450 its reverse (54045), we get a palindrome (594495).

It can be divided in two parts, 540 and 450, that added together give a triangular number (990 = T₄₄).

The spelling of 540450 in words is "five hundred forty thousand, four hundred fifty".