54381600 has 432 divisors, whose sum is σ = 238859712. Its totient is φ = 11335680.

The previous prime is 54381599. The next prime is 54381611. The reversal of 54381600 is 618345.

54381600 is a `hidden beast` number, since 54 + 3 + 8 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655159 + ... + 655241.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 2^54381600 is an apocalyptic number.

54381600 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 54381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

54381600 is an abundant number, since it is smaller than the sum of its proper divisors (184478112).

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

54381600 is a wasteful number, since it uses less digits than its factorization.

54381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54381600 is about 7374.3881102096. The cubic root of 54381600 is about 378.8645701169.

Adding to 54381600 its reverse (618345), we get a palindrome (54999945).

The spelling of 54381600 in words is "fifty-four million, three hundred eighty-one thousand, six hundred".