540302000 has 80 divisors (see below), whose sum is σ = 1493124672. Its totient is φ = 185241600.

The previous prime is 540301967. The next prime is 540302011. The reversal of 540302000 is 203045.

540302000 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5297 + ... + 33296.

Almost surely, 2^540302000 is an apocalyptic number.

540302000 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 540302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746562336).

540302000 is an abundant number, since it is smaller than the sum of its proper divisors (952822672).

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

540302000 is a wasteful number, since it uses less digits than its factorization.

540302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38623 (or 38607 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 540302000 is about 23244.3971743730. The cubic root of 540302000 is about 814.4770630061.

Adding to 540302000 its reverse (203045), we get a palindrome (540505045).

The spelling of 540302000 in words is "five hundred forty million, three hundred two thousand".