54114400 has 144 divisors (see below), whose sum is σ = 146803104. Its totient is φ = 19374080.

The previous prime is 54114373. The next prime is 54114419. The reversal of 54114400 is 441145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312714 + ... + 312886.

It is an arithmetic number, because the mean of its divisors is an integer number (1019466).

Almost surely, 2^54114400 is an apocalyptic number.

54114400 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 54114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401552).

54114400 is an abundant number, since it is smaller than the sum of its proper divisors (92688704).

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

54114400 is a wasteful number, since it uses less digits than its factorization.

54114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 54114400 is about 7356.2490441801. The cubic root of 54114400 is about 378.2430433083.

Adding to 54114400 its reverse (441145), we get a palindrome (54555545).

It can be divided in two parts, 541 and 14400, that added together give a palindrome (14941).

The spelling of 54114400 in words is "fifty-four million, one hundred fourteen thousand, four hundred".