552082800 has 240 divisors, whose sum is σ = 1875379968. Its totient is φ = 138547200.

The previous prime is 552082759. The next prime is 552082801. The reversal of 552082800 is 8280255.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552082801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290680 + ... + 2290920.

Almost surely, 2^552082800 is an apocalyptic number.

552082800 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 552082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937689984).

552082800 is an abundant number, since it is smaller than the sum of its proper divisors (1323297168).

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

552082800 is a wasteful number, since it uses less digits than its factorization.

552082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 552082800 is about 23496.4422838863. The cubic root of 552082800 is about 820.3541995492.

The spelling of 552082800 in words is "five hundred fifty-two million, eighty-two thousand, eight hundred".