552224000 has 72 divisors (see below), whose sum is σ = 1375738728. Its totient is φ = 220876800.

The previous prime is 552223981. The next prime is 552224027. The reversal of 552224000 is 422255.

It can be written as a sum of positive squares in 4 ways, for example, as 133448704 + 418775296 = 11552^2 + 20464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23372 + ... + 40628.

Almost surely, 2^552224000 is an apocalyptic number.

552224000 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 552224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687869364).

552224000 is an abundant number, since it is smaller than the sum of its proper divisors (823514728).

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

552224000 is an equidigital number, since it uses as much as digits as its factorization.

552224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17288 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 552224000 is about 23499.4468019994. The cubic root of 552224000 is about 820.4241311724.

Adding to 552224000 its reverse (422255), we get a palindrome (552646255).

The spelling of 552224000 in words is "five hundred fifty-two million, two hundred twenty-four thousand".