540792000 has 672 divisors, whose sum is σ = 2348910720. Its totient is φ = 116121600.

The previous prime is 540791959. The next prime is 540792001. The reversal of 540792000 is 297045.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (540792001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14615982 + ... + 14616018.

Almost surely, 2^540792000 is an apocalyptic number.

540792000 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 540792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174455360).

540792000 is an abundant number, since it is smaller than the sum of its proper divisors (1808118720).

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

540792000 is a wasteful number, since it uses less digits than its factorization.

540792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 540792000 is about 23254.9349601327. The cubic root of 540792000 is about 814.7232050869.

The spelling of 540792000 in words is "five hundred forty million, seven hundred ninety-two thousand".