540630000 has 150 divisors (see below), whose sum is σ = 1890975944. Its totient is φ = 144144000.

The previous prime is 540629993. The next prime is 540630001. The reversal of 540630000 is 36045.

It is a happy number.

540630000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540630001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86997 + ... + 93003.

Almost surely, 2^540630000 is an apocalyptic number.

540630000 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 540630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945487972).

540630000 is an abundant number, since it is smaller than the sum of its proper divisors (1350345944).

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

540630000 is a wasteful number, since it uses less digits than its factorization.

540630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540630000 is about 23251.4515675904. The cubic root of 540630000 is about 814.6418439594.

Adding to 540630000 its reverse (36045), we get a palindrome (540666045).

The spelling of 540630000 in words is "five hundred forty million, six hundred thirty thousand".