54403200 has 144 divisors (see below), whose sum is σ = 194225850. Its totient is φ = 14499840.

The previous prime is 54403199. The next prime is 54403201. The reversal of 54403200 is 230445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54403199) and next prime (54403201).

It can be written as a sum of positive squares in 3 ways, for example, as 39841344 + 14561856 = 6312^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54403201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27856 + ... + 29744.

Almost surely, 2^54403200 is an apocalyptic number.

54403200 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 54403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97112925).

54403200 is an abundant number, since it is smaller than the sum of its proper divisors (139822650).

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

54403200 is a wasteful number, since it uses less digits than its factorization.

54403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1899 counting only the distinct ones).

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

The square root of 54403200 is about 7375.8524931021. The cubic root of 54403200 is about 378.9147242835.

Adding to 54403200 its reverse (230445), we get a palindrome (54633645).

The spelling of 54403200 in words is "fifty-four million, four hundred three thousand, two hundred".