550304000 has 144 divisors (see below), whose sum is σ = 1420539120. Its totient is φ = 212172800.

The previous prime is 550303987. The next prime is 550304021. The reversal of 550304000 is 403055.

It can be written as a sum of positive squares in 8 ways, for example, as 143233024 + 407070976 = 11968^2 + 20176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 550304000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927704 + ... + 928296.

It is an arithmetic number, because the mean of its divisors is an integer number (9864855).

Almost surely, 2^550304000 is an apocalyptic number.

550304000 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 550304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710269560).

550304000 is an abundant number, since it is smaller than the sum of its proper divisors (870235120).

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

550304000 is an equidigital number, since it uses as much as digits as its factorization.

550304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 550304000 is about 23458.5592055437. The cubic root of 550304000 is about 819.4721965342.

Adding to 550304000 its reverse (403055), we get a palindrome (550707055).

The spelling of 550304000 in words is "five hundred fifty million, three hundred four thousand".