54350400 has 252 divisors, whose sum is σ = 195968112. Its totient is φ = 13178880.

The previous prime is 54350399. The next prime is 54350407. The reversal of 54350400 is 405345.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811167 + ... + 811233.

Almost surely, 2^54350400 is an apocalyptic number.

54350400 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 54350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97984056).

54350400 is an abundant number, since it is smaller than the sum of its proper divisors (141617712).

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

54350400 is a wasteful number, since it uses less digits than its factorization.

54350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 54350400 is about 7372.2723769541. The cubic root of 54350400 is about 378.7921017582.

Adding to 54350400 its reverse (405345), we get a palindrome (54755745).

The spelling of 54350400 in words is "fifty-four million, three hundred fifty thousand, four hundred".