54014400 has 378 divisors, whose sum is σ = 217826336. Its totient is φ = 12672000.

The previous prime is 54014399. The next prime is 54014479. The reversal of 54014400 is 441045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742385 + ... + 1742415.

Almost surely, 2^54014400 is an apocalyptic number.

54014400 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 54014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108913168).

54014400 is an abundant number, since it is smaller than the sum of its proper divisors (163811936).

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

54014400 is a wasteful number, since it uses less digits than its factorization.

54014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54014400 is about 7349.4489589356. The cubic root of 54014400 is about 378.0099098771.

Adding to 54014400 its reverse (441045), we get a palindrome (54455445).

It can be divided in two parts, 5401 and 4400, that added together give a square (9801 = 99²).

The spelling of 54014400 in words is "fifty-four million, fourteen thousand, four hundred".