552340800 has 378 divisors, whose sum is σ = 2164649214. Its totient is φ = 133478400.

The previous prime is 552340783. The next prime is 552340801. The reversal of 552340800 is 8043255.

552340800 is a `hidden beast` number, since 552 + 34 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 552062016 = 528^2 + 23496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552340801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742242 + ... + 1742558.

Almost surely, 2^552340800 is an apocalyptic number.

552340800 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 552340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082324607).

552340800 is an abundant number, since it is smaller than the sum of its proper divisors (1612308414).

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

552340800 is a wasteful number, since it uses less digits than its factorization.

552340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 338 counting only the distinct ones).

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

The square root of 552340800 is about 23501.9318354896. The cubic root of 552340800 is about 820.4819692861.

The spelling of 552340800 in words is "five hundred fifty-two million, three hundred forty thousand, eight hundred".