540432000 has 384 divisors, whose sum is σ = 2027188800. Its totient is φ = 143078400.

The previous prime is 540431987. The next prime is 540432019. The reversal of 540432000 is 234045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887931 + ... + 3888069.

Almost surely, 2^540432000 is an apocalyptic number.

540432000 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 540432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013594400).

540432000 is an abundant number, since it is smaller than the sum of its proper divisors (1486756800).

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

540432000 is an equidigital number, since it uses as much as digits as its factorization.

540432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

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

The square root of 540432000 is about 23247.1933789866. The cubic root of 540432000 is about 814.5423805059.

Adding to 540432000 its reverse (234045), we get a palindrome (540666045).

The spelling of 540432000 in words is "five hundred forty million, four hundred thirty-two thousand".