552041568 has 288 divisors, whose sum is σ = 1808142336. Its totient is φ = 164602368.

The previous prime is 552041563. The next prime is 552041579. The reversal of 552041568 is 865140255.

552041568 is a `hidden beast` number, since 5 + 52 + 0 + 41 + 568 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552041563) 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, 4346721 + ... + 4346847.

It is an arithmetic number, because the mean of its divisors is an integer number (6278272).

Almost surely, 2^552041568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552041568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904071168).

552041568 is an abundant number, since it is smaller than the sum of its proper divisors (1256100768).

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

552041568 is a wasteful number, since it uses less digits than its factorization.

552041568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 552041568 is about 23495.5648580748. The cubic root of 552041568 is about 820.3337764735. Note that the first 3 decimals are identical.

The spelling of 552041568 in words is "five hundred fifty-two million, forty-one thousand, five hundred sixty-eight".