553240800 has 288 divisors, whose sum is σ = 2287353600. Its totient is φ = 126420480.

The previous prime is 553240789. The next prime is 553240847. The reversal of 553240800 is 8042355.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

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 47 ways as a sum of consecutive naturals, for example, 149371 + ... + 153029.

It is an arithmetic number, because the mean of its divisors is an integer number (7942200).

Almost surely, 2^553240800 is an apocalyptic number.

553240800 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 553240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143676800).

553240800 is an abundant number, since it is smaller than the sum of its proper divisors (1734112800).

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

553240800 is a wasteful number, since it uses less digits than its factorization.

553240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 553240800 is about 23521.0714041686. The cubic root of 553240800 is about 820.9273664394.

The spelling of 553240800 in words is "five hundred fifty-three million, two hundred forty thousand, eight hundred".