550824400 has 120 divisors (see below), whose sum is σ = 1525299200. Its totient is φ = 187246080.

The previous prime is 550824343. The next prime is 550824403. The reversal of 550824400 is 4428055.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550824403) 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 23 ways as a sum of consecutive naturals, for example, 354826 + ... + 356374.

Almost surely, 2^550824400 is an apocalyptic number.

550824400 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 550824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762649600).

550824400 is an abundant number, since it is smaller than the sum of its proper divisors (974474800).

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

550824400 is a wasteful number, since it uses less digits than its factorization.

550824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 550824400 is about 23469.6484847984. The cubic root of 550824400 is about 819.7304289386.

The spelling of 550824400 in words is "five hundred fifty million, eight hundred twenty-four thousand, four hundred".