540623200 has 144 divisors (see below), whose sum is σ = 1433814480. Its totient is φ = 197867520.

The previous prime is 540623179. The next prime is 540623227. The reversal of 540623200 is 2326045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2360686 + ... + 2360914.

It is an arithmetic number, because the mean of its divisors is an integer number (9957045).

Almost surely, 2^540623200 is an apocalyptic number.

540623200 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 540623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716907240).

540623200 is an abundant number, since it is smaller than the sum of its proper divisors (893191280).

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

540623200 is a wasteful number, since it uses less digits than its factorization.

540623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 540623200 is about 23251.3053397008. The cubic root of 540623200 is about 814.6384284455.

Adding to 540623200 its reverse (2326045), we get a palindrome (542949245).

The spelling of 540623200 in words is "five hundred forty million, six hundred twenty-three thousand, two hundred".