552661200 has 540 divisors, whose sum is σ = 2412598188. Its totient is φ = 116121600.

The previous prime is 552661163. The next prime is 552661217. The reversal of 552661200 is 2166255.

It can be written as a sum of positive squares in 6 ways, for example, as 22924944 + 529736256 = 4788^2 + 23016^2 .

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, 2293080 + ... + 2293320.

Almost surely, 2^552661200 is an apocalyptic number.

552661200 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 552661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206299094).

552661200 is an abundant number, since it is smaller than the sum of its proper divisors (1859936988).

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

552661200 is a wasteful number, since it uses less digits than its factorization.

552661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 552661200 is about 23508.7473081830. The cubic root of 552661200 is about 820.6405860970.

The spelling of 552661200 in words is "five hundred fifty-two million, six hundred sixty-one thousand, two hundred".