55200384 has 48 divisors (see below), whose sum is σ = 158848170. Its totient is φ = 18399744.

The previous prime is 55200373. The next prime is 55200389. The reversal of 55200384 is 48300255.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 1617984 = 7320^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (55200389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22807 + ... + 25110.

Almost surely, 2^55200384 is an apocalyptic number.

It is an amenable number.

55200384 is an abundant number, since it is smaller than the sum of its proper divisors (103647786).

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

55200384 is a wasteful number, since it uses less digits than its factorization.

55200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47937 (or 47922 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55200384 is about 7429.6960906890. The cubic root of 55200384 is about 380.7565353023.

The spelling of 55200384 in words is "fifty-five million, two hundred thousand, three hundred eighty-four".