540237600 has 432 divisors, whose sum is σ = 2263480128. Its totient is φ = 123171840.

The previous prime is 540237569. The next prime is 540237601. The reversal of 540237600 is 6732045.

It is a happy number.

540237600 is a `hidden beast` number, since 54 + 0 + 2 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540237601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360602 + ... + 1360998.

Almost surely, 2^540237600 is an apocalyptic number.

540237600 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 540237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131740064).

540237600 is an abundant number, since it is smaller than the sum of its proper divisors (1723242528).

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

540237600 is a wasteful number, since it uses less digits than its factorization.

540237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 540237600 is about 23243.0118530280. The cubic root of 540237600 is about 814.4447018408. Note that the first 3 decimals are identical.

Adding to 540237600 its reverse (6732045), we get a palindrome (546969645).

The spelling of 540237600 in words is "five hundred forty million, two hundred thirty-seven thousand, six hundred".