540941800 has 96 divisors (see below), whose sum is σ = 1468120320. Its totient is φ = 181497600.

The previous prime is 540941783. The next prime is 540941803. The reversal of 540941800 is 8149045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (540941803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61690 + ... + 69910.

It is an arithmetic number, because the mean of its divisors is an integer number (15292920).

Almost surely, 2^540941800 is an apocalyptic number.

540941800 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 540941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734060160).

540941800 is an abundant number, since it is smaller than the sum of its proper divisors (927178520).

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

540941800 is a wasteful number, since it uses less digits than its factorization.

540941800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 540941800 is about 23258.1555588572. The cubic root of 540941800 is about 814.7984245606.

The spelling of 540941800 in words is "five hundred forty million, nine hundred forty-one thousand, eight hundred".