54432000 has 432 divisors, whose sum is σ = 232132992. Its totient is φ = 12441600.

The previous prime is 54431963. The next prime is 54432013. The reversal of 54432000 is 23445.

It is a happy number.

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 (18).

It is a nialpdrome in base 10.

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, 7775997 + ... + 7776003.

Almost surely, 2^54432000 is an apocalyptic number.

54432000 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 54432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116066496).

54432000 is an abundant number, since it is smaller than the sum of its proper divisors (177700992).

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

54432000 is an frugal number, since it uses more digits than its factorization.

54432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

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

The square root of 54432000 is about 7377.8045514909. The cubic root of 54432000 is about 378.9815758594.

Adding to 54432000 its reverse (23445), we get a palindrome (54455445).

The spelling of 54432000 in words is "fifty-four million, four hundred thirty-two thousand".