55447200 has 288 divisors, whose sum is σ = 213736320. Its totient is φ = 13824000.

The previous prime is 55447193. The next prime is 55447229. The reversal of 55447200 is 274455.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 367125 + ... + 367275.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^55447200 is an apocalyptic number.

55447200 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 55447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

55447200 is an abundant number, since it is smaller than the sum of its proper divisors (158289120).

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

55447200 is a wasteful number, since it uses less digits than its factorization.

55447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 55447200 is about 7446.2876656761. The cubic root of 55447200 is about 381.3231804340.

The spelling of 55447200 in words is "fifty-five million, four hundred forty-seven thousand, two hundred".