553115200 has 126 divisors (see below), whose sum is σ = 1496508818. Its totient is φ = 201062400.

The previous prime is 553115197. The next prime is 553115209. The reversal of 553115200 is 2511355.

553115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 61340224 + 491774976 = 7832^2 + 22176^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (553115209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192172 + ... + 195028.

Almost surely, 2^553115200 is an apocalyptic number.

553115200 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 553115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748254409).

553115200 is an abundant number, since it is smaller than the sum of its proper divisors (943393618).

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

553115200 is a wasteful number, since it uses less digits than its factorization.

553115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 553115200 is about 23518.4013062113. The cubic root of 553115200 is about 820.8652378081.

Adding to 553115200 its reverse (2511355), we get a palindrome (555626555).

The spelling of 553115200 in words is "five hundred fifty-three million, one hundred fifteen thousand, two hundred".