540800192 has 56 divisors (see below), whose sum is σ = 1196126640. Its totient is φ = 241090560.

The previous prime is 540800191. The next prime is 540800201. The reversal of 540800192 is 291008045.

It is not an unprimeable number, because it can be changed into a prime (540800191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7592 + ... + 33752.

Almost surely, 2^540800192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598063320).

540800192 is an abundant number, since it is smaller than the sum of its proper divisors (655326448).

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

540800192 is a wasteful number, since it uses less digits than its factorization.

540800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26209 (or 26199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 540800192 is about 23255.1110941229. Note that the first 3 decimals coincide. The cubic root of 540800192 is about 814.7273189167.

The spelling of 540800192 in words is "five hundred forty million, eight hundred thousand, one hundred ninety-two".