540017920 has 288 divisors, whose sum is σ = 1557626112. Its totient is φ = 177340416.

The previous prime is 540017911. The next prime is 540017939. The reversal of 540017920 is 29710045.

It is a happy number.

It is a super-2 number, since 2×540017920² = 583238707842252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6506199 + ... + 6506281.

It is an arithmetic number, because the mean of its divisors is an integer number (5408424).

Almost surely, 2^540017920 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 540017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778813056).

540017920 is an abundant number, since it is smaller than the sum of its proper divisors (1017608192).

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

540017920 is a wasteful number, since it uses less digits than its factorization.

540017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 540017920 is about 23238.2856510544. The cubic root of 540017920 is about 814.3342927240.

Adding to 540017920 its reverse (29710045), we get a palindrome (569727965).

The spelling of 540017920 in words is "five hundred forty million, seventeen thousand, nine hundred twenty".