553000800 has 144 divisors (see below), whose sum is σ = 1963749312. Its totient is φ = 134054400.

The previous prime is 553000787. The next prime is 553000817. The reversal of 553000800 is 8000355.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15927 + ... + 36873.

It is an arithmetic number, because the mean of its divisors is an integer number (13637148).

Almost surely, 2^553000800 is an apocalyptic number.

553000800 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 553000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981874656).

553000800 is an abundant number, since it is smaller than the sum of its proper divisors (1410748512).

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

553000800 is a wasteful number, since it uses less digits than its factorization.

553000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20981 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 553000800 is about 23515.9690423338. The cubic root of 553000800 is about 820.8086411244.

The spelling of 553000800 in words is "five hundred fifty-three million, eight hundred", and thus it is an aban number.