540012000 has 192 divisors, whose sum is σ = 1930376448. Its totient is φ = 130880000.

The previous prime is 540011993. The next prime is 540012023. The reversal of 540012000 is 210045.

540012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540012000² = 583225920288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129955 + ... + 134045.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^540012000 is an apocalyptic number.

540012000 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 540012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

540012000 is an abundant number, since it is smaller than the sum of its proper divisors (1390364448).

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

540012000 is a wasteful number, since it uses less digits than its factorization.

540012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 540012000 is about 23238.1582746998. The cubic root of 540012000 is about 814.3313169729.

Adding to 540012000 its reverse (210045), we get a palindrome (540222045).

The spelling of 540012000 in words is "five hundred forty million, twelve thousand".