540300240 has 160 divisors (see below), whose sum is σ = 1921305600. Its totient is φ = 139415040.

The previous prime is 540300217. The next prime is 540300251. The reversal of 540300240 is 42003045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62926 + ... + 70994.

It is an arithmetic number, because the mean of its divisors is an integer number (12008160).

Almost surely, 2^540300240 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 540300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960652800).

540300240 is an abundant number, since it is smaller than the sum of its proper divisors (1381005360).

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

540300240 is a wasteful number, since it uses less digits than its factorization.

540300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 540300240 is about 23244.3593157566. The cubic root of 540300240 is about 814.4761786358.

Adding to 540300240 its reverse (42003045), we get a palindrome (582303285).

The spelling of 540300240 in words is "five hundred forty million, three hundred thousand, two hundred forty".