540024000 has 112 divisors (see below), whose sum is σ = 1783238496. Its totient is φ = 144000000.

The previous prime is 540023987. The next prime is 540024011. The reversal of 540024000 is 420045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12750 + ... + 35250.

Almost surely, 2^540024000 is an apocalyptic number.

540024000 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 540024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891619248).

540024000 is an abundant number, since it is smaller than the sum of its proper divisors (1243214496).

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

540024000 is a wasteful number, since it uses less digits than its factorization.

540024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22531 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 540024000 is about 23238.4164692864. The cubic root of 540024000 is about 814.3373488780.

Adding to 540024000 its reverse (420045), we get a palindrome (540444045).

The spelling of 540024000 in words is "five hundred forty million, twenty-four thousand".