54034400 has 72 divisors (see below), whose sum is σ = 150771600. Its totient is φ = 18524160.

The previous prime is 54034397. The next prime is 54034417. The reversal of 54034400 is 443045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 776 + ... + 10424.

It is an arithmetic number, because the mean of its divisors is an integer number (2094050).

Almost surely, 2^54034400 is an apocalyptic number.

54034400 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 54034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75385800).

54034400 is an abundant number, since it is smaller than the sum of its proper divisors (96737200).

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

54034400 is a wasteful number, since it uses less digits than its factorization.

54034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 54034400 is about 7350.8094792342. The cubic root of 54034400 is about 378.0565595685.

Adding to 54034400 its reverse (443045), we get a palindrome (54477445).

The spelling of 54034400 in words is "fifty-four million, thirty-four thousand, four hundred".