54336400 has 30 divisors (see below), whose sum is σ = 130544162. Its totient is φ = 21734400.

The previous prime is 54336379. The next prime is 54336407. The reversal of 54336400 is 463345.

54336400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9339136 + 44997264 = 3056^2 + 6708^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54336407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 67521 + ... + 68320.

Almost surely, 2^54336400 is an apocalyptic number.

54336400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54336400 is an abundant number, since it is smaller than the sum of its proper divisors (76207762).

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

54336400 is a wasteful number, since it uses less digits than its factorization.

54336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135859 (or 135848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 54336400 is about 7371.3228120874. The cubic root of 54336400 is about 378.7595748904.

Adding to 54336400 its reverse (463345), we get a palindrome (54799745).

The spelling of 54336400 in words is "fifty-four million, three hundred thirty-six thousand, four hundred".