540595440 has 480 divisors, whose sum is σ = 2321280000. Its totient is φ = 111767040.

The previous prime is 540595421. The next prime is 540595469. The reversal of 540595440 is 44595045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540595395 and 540595404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716461 + ... + 2716659.

It is an arithmetic number, because the mean of its divisors is an integer number (4836000).

Almost surely, 2^540595440 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 540595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640000).

540595440 is an abundant number, since it is smaller than the sum of its proper divisors (1780684560).

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

540595440 is a wasteful number, since it uses less digits than its factorization.

540595440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 540595440 is about 23250.7083763054. The cubic root of 540595440 is about 814.6244848154.

The spelling of 540595440 in words is "five hundred forty million, five hundred ninety-five thousand, four hundred forty".