553151200 has 216 divisors, whose sum is σ = 1597678992. Its totient is φ = 186439680.

The previous prime is 553151189. The next prime is 553151227. The reversal of 553151200 is 2151355.

It is a super-2 number, since 2×553151200² = 611952500122880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4037532 + ... + 4037668.

It is an arithmetic number, because the mean of its divisors is an integer number (7396662).

Almost surely, 2^553151200 is an apocalyptic number.

553151200 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 553151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798839496).

553151200 is an abundant number, since it is smaller than the sum of its proper divisors (1044527792).

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

553151200 is a wasteful number, since it uses less digits than its factorization.

553151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

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

The square root of 553151200 is about 23519.1666519033. The cubic root of 553151200 is about 820.8830463391.

The spelling of 553151200 in words is "five hundred fifty-three million, one hundred fifty-one thousand, two hundred".