540835200 has 288 divisors, whose sum is σ = 1960756200. Its totient is φ = 141926400.

The previous prime is 540835193. The next prime is 540835231. The reversal of 540835200 is 2538045.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2563095 + ... + 2563305.

Almost surely, 2^540835200 is an apocalyptic number.

540835200 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 540835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980378100).

540835200 is an abundant number, since it is smaller than the sum of its proper divisors (1419921000).

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

540835200 is a wasteful number, since it uses less digits than its factorization.

540835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540835200 is about 23255.8637766908. The cubic root of 540835200 is about 814.7448986433.

The spelling of 540835200 in words is "five hundred forty million, eight hundred thirty-five thousand, two hundred".