55400 has 24 divisors (see below), whose sum is σ = 129270. Its totient is φ = 22080.

The previous prime is 55399. The next prime is 55411. The reversal of 55400 is 455.

It can be written as a sum of positive squares in 3 ways, for example, as 31684 + 23716 = 178^2 + 154^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62 + ... + 338.

2⁵⁵⁴⁰⁰ is an apocalyptic number.

55400 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 55400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64635).

55400 is an abundant number, since it is smaller than the sum of its proper divisors (73870).

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

55400 is a wasteful number, since it uses less digits than its factorization.

55400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 55400 is about 235.3720459188. The cubic root of 55400 is about 38.1214947955.

Adding to 55400 its reverse (455), we get a palindrome (55855).

Subtracting from 55400 its reverse (455), we obtain a palindrome (54945).

It can be divided in two parts, 5 and 5400, that multiplied together give a cube (27000 = 30³).

The spelling of 55400 in words is "fifty-five thousand, four hundred".