54110400 has 84 divisors (see below), whose sum is σ = 177542952. Its totient is φ = 14428160.

The previous prime is 54110377. The next prime is 54110417. The reversal of 54110400 is 401145.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54110400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837 + ... + 10436.

Almost surely, 2^54110400 is an apocalyptic number.

54110400 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 54110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88771476).

54110400 is an abundant number, since it is smaller than the sum of its proper divisors (123432552).

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

54110400 is a wasteful number, since it uses less digits than its factorization.

54110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 54110400 is about 7355.9771614654. The cubic root of 54110400 is about 378.2337234880.

Adding to 54110400 its reverse (401145), we get a palindrome (54511545).

The spelling of 54110400 in words is "fifty-four million, one hundred ten thousand, four hundred".