553661200 has 120 divisors (see below), whose sum is σ = 1373353568. Its totient is φ = 214410240.

The previous prime is 553661191. The next prime is 553661201. The reversal of 553661200 is 2166355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553661201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956259 + ... + 1956541.

Almost surely, 2^553661200 is an apocalyptic number.

553661200 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 553661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686676784).

553661200 is an abundant number, since it is smaller than the sum of its proper divisors (819692368).

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

553661200 is a wasteful number, since it uses less digits than its factorization.

553661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 553661200 is about 23530.0063748398. The cubic root of 553661200 is about 821.1352508934.

The spelling of 553661200 in words is "five hundred fifty-three million, six hundred sixty-one thousand, two hundred".