549600 has 72 divisors (see below), whose sum is σ = 1796760. Its totient is φ = 145920.

The previous prime is 549589. The next prime is 549607. The reversal of 549600 is 6945.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2286 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (24955).

2⁵⁴⁹⁶⁰⁰ is an apocalyptic number.

549600 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 549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898380).

549600 is an abundant number, since it is smaller than the sum of its proper divisors (1247160).

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

549600 is a wasteful number, since it uses less digits than its factorization.

549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 549600 is about 741.3501197140. The cubic root of 549600 is about 81.9122599092.

It can be divided in two parts, 54 and 9600, that multiplied together give a square (518400 = 720²).

The spelling of 549600 in words is "five hundred forty-nine thousand, six hundred".