54050400 has 108 divisors (see below), whose sum is σ = 190620612. Its totient is φ = 14411520.

The previous prime is 54050371. The next prime is 54050411. The reversal of 54050400 is 405045.

It is a happy number.

54050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 3447 + ... + 10953.

Almost surely, 2^54050400 is an apocalyptic number.

54050400 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 54050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95310306).

54050400 is an abundant number, since it is smaller than the sum of its proper divisors (136570212).

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

54050400 is a wasteful number, since it uses less digits than its factorization.

54050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54050400 is about 7351.8977141960. The cubic root of 54050400 is about 378.0938710344.

Adding to 54050400 its reverse (405045), we get a palindrome (54455445).

The spelling of 54050400 in words is "fifty-four million, fifty thousand, four hundred".