54514400 has 72 divisors (see below), whose sum is σ = 134850744. Its totient is φ = 21516800.

The previous prime is 54514381. The next prime is 54514433. The reversal of 54514400 is 441545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65990 + ... + 66810.

It is an arithmetic number, because the mean of its divisors is an integer number (1872927).

Almost surely, 2^54514400 is an apocalyptic number.

54514400 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 54514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67425372).

54514400 is an abundant number, since it is smaller than the sum of its proper divisors (80336344).

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

54514400 is a wasteful number, since it uses less digits than its factorization.

54514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 54514400 is about 7383.3867567668. The cubic root of 54514400 is about 379.1727154907.

Adding to 54514400 its reverse (441545), we get a palindrome (54955945).

The spelling of 54514400 in words is "fifty-four million, five hundred fourteen thousand, four hundred".