55457200 has 60 divisors (see below), whose sum is σ = 140267560. Its totient is φ = 21012480.

The previous prime is 55457167. The next prime is 55457203. The reversal of 55457200 is 275455.

55457200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55457203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3952 + ... + 11248.

Almost surely, 2^55457200 is an apocalyptic number.

55457200 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 55457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70133780).

55457200 is an abundant number, since it is smaller than the sum of its proper divisors (84810360).

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

55457200 is a wasteful number, since it uses less digits than its factorization.

55457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 55457200 is about 7446.9591109392. The cubic root of 55457200 is about 381.3461031580.

The spelling of 55457200 in words is "fifty-five million, four hundred fifty-seven thousand, two hundred".