540403200 has 180 divisors, whose sum is σ = 1934366148. Its totient is φ = 144076800.

The previous prime is 540403163. The next prime is 540403207. The reversal of 540403200 is 2304045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (540403207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112855 + ... + 117545.

Almost surely, 2^540403200 is an apocalyptic number.

540403200 is a gapful number since it is divisible by the number (50) 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 540403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967183074).

540403200 is an abundant number, since it is smaller than the sum of its proper divisors (1393962948).

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

540403200 is a wasteful number, since it uses less digits than its factorization.

540403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 540403200 is about 23246.5739411209. The cubic root of 540403200 is about 814.5279110708.

Adding to 540403200 its reverse (2304045), we get a palindrome (542707245).

The spelling of 540403200 in words is "five hundred forty million, four hundred three thousand, two hundred".