540545940 has 384 divisors, whose sum is σ = 1998743040. Its totient is φ = 119808000.

The previous prime is 540545921. The next prime is 540545969. The reversal of 540545940 is 49545045.

It is a super-3 number, since 3×540545940³ (a number of 27 digits) contains 333 as substring.

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 = 540545895 and 540545904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5351890 + ... + 5351990.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^540545940 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 540545940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999371520).

540545940 is an abundant number, since it is smaller than the sum of its proper divisors (1458197100).

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

540545940 is a wasteful number, since it uses less digits than its factorization.

540545940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

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

The square root of 540545940 is about 23249.6438682402. The cubic root of 540545940 is about 814.5996201693.

The spelling of 540545940 in words is "five hundred forty million, five hundred forty-five thousand, nine hundred forty".