55478200 has 48 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 22080000.

The previous prime is 55478179. The next prime is 55478201. The reversal of 55478200 is 287455.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55478201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47625 + ... + 48775.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^55478200 is an apocalyptic number.

55478200 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 55478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

55478200 is an abundant number, since it is smaller than the sum of its proper divisors (74156360).

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

55478200 is a wasteful number, since it uses less digits than its factorization.

55478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 55478200 is about 7448.3689489713. The cubic root of 55478200 is about 381.3942319104.

The spelling of 55478200 in words is "fifty-five million, four hundred seventy-eight thousand, two hundred".