552484800 has 756 divisors, whose sum is σ = 2450546280. Its totient is φ = 121927680.

The previous prime is 552484789. The next prime is 552484837. The reversal of 552484800 is 8484255.

552484800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051186 + ... + 19051214.

Almost surely, 2^552484800 is an apocalyptic number.

552484800 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 552484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225273140).

552484800 is an abundant number, since it is smaller than the sum of its proper divisors (1898061480).

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

552484800 is a wasteful number, since it uses less digits than its factorization.

552484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 552484800 is about 23504.9952137838. The cubic root of 552484800 is about 820.5532653274.

The spelling of 552484800 in words is "five hundred fifty-two million, four hundred eighty-four thousand, eight hundred".