540234000 has 120 divisors (see below), whose sum is σ = 1886920152. Its totient is φ = 144057600.

The previous prime is 540233989. The next prime is 540234029. The reversal of 540234000 is 432045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 172975104 + 367258896 = 13152^2 + 19164^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2994 + ... + 33006.

Almost surely, 2^540234000 is an apocalyptic number.

540234000 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 540234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943460076).

540234000 is an abundant number, since it is smaller than the sum of its proper divisors (1346686152).

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

540234000 is a wasteful number, since it uses less digits than its factorization.

540234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30042 (or 30023 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 540234000 is about 23242.9344102676. The cubic root of 540234000 is about 814.4428927557.

Adding to 540234000 its reverse (432045), we get a palindrome (540666045).

The spelling of 540234000 in words is "five hundred forty million, two hundred thirty-four thousand".