540150400 has 192 divisors, whose sum is σ = 1434283200. Its totient is φ = 200499200.

The previous prime is 540150389. The next prime is 540150407. The reversal of 540150400 is 4051045.

It is not an unprimeable number, because it can be changed into a prime (540150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017511 + ... + 3017689.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^540150400 is an apocalyptic number.

540150400 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 540150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717141600).

540150400 is an abundant number, since it is smaller than the sum of its proper divisors (894132800).

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

540150400 is a wasteful number, since it uses less digits than its factorization.

540150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 540150400 is about 23241.1359446994. The cubic root of 540150400 is about 814.4008795181.

The spelling of 540150400 in words is "five hundred forty million, one hundred fifty thousand, four hundred".