54320400 has 180 divisors, whose sum is σ = 191892480. Its totient is φ = 14227200.

The previous prime is 54320353. The next prime is 54320437. The reversal of 54320400 is 402345.

It is a happy number.

54320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 284305 + ... + 284495.

Almost surely, 2^54320400 is an apocalyptic number.

54320400 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 54320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95946240).

54320400 is an abundant number, since it is smaller than the sum of its proper divisors (137572080).

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

54320400 is a wasteful number, since it uses less digits than its factorization.

54320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54320400 is about 7370.2374452931. The cubic root of 54320400 is about 378.7223944851.

Adding to 54320400 its reverse (402345), we get a palindrome (54722745).

The spelling of 54320400 in words is "fifty-four million, three hundred twenty thousand, four hundred".