540396000 has 288 divisors, whose sum is σ = 2032980768. Its totient is φ = 135475200.

The previous prime is 540395963. The next prime is 540396023. The reversal of 540396000 is 693045.

It is a happy number.

540396000 is a `hidden beast` number, since 54 + 0 + 3 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611559 + ... + 612441.

It is an arithmetic number, because the mean of its divisors is an integer number (7058961).

Almost surely, 2^540396000 is an apocalyptic number.

540396000 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 540396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016490384).

540396000 is an abundant number, since it is smaller than the sum of its proper divisors (1492584768).

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

540396000 is a wasteful number, since it uses less digits than its factorization.

540396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 540396000 is about 23246.4190790754. The cubic root of 540396000 is about 814.5242936317.

The spelling of 540396000 in words is "five hundred forty million, three hundred ninety-six thousand".