54218400 has 288 divisors, whose sum is σ = 196862400. Its totient is φ = 12902400.

The previous prime is 54218393. The next prime is 54218413. The reversal of 54218400 is 481245.

54218400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322380 + ... + 1322420.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^54218400 is an apocalyptic number.

54218400 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 54218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

54218400 is an abundant number, since it is smaller than the sum of its proper divisors (142644000).

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

54218400 is a wasteful number, since it uses less digits than its factorization.

54218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54218400 is about 7363.3144710789. The cubic root of 54218400 is about 378.4851976037.

Adding to 54218400 its reverse (481245), we get a palindrome (54699645).

The spelling of 54218400 in words is "fifty-four million, two hundred eighteen thousand, four hundred".