552352 has 24 divisors (see below), whose sum is σ = 1116612. Its totient is φ = 268800.

The previous prime is 552341. The next prime is 552353. The reversal of 552352 is 253255.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 197136 = 596^2 + 444^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5⁴ + 5⁵ + 3¹² + 2⁹ + 5⁶ + 2¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (552353) by changing a digit.

552352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1102 + ... + 1522.

2⁵⁵²³⁵² 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 552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558306).

552352 is an abundant number, since it is smaller than the sum of its proper divisors (564260).

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

552352 is a wasteful number, since it uses less digits than its factorization.

552352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 1500, while the sum is 22.

The square root of 552352 is about 743.2038751245. The cubic root of 552352 is about 82.0487514978.

The spelling of 552352 in words is "five hundred fifty-two thousand, three hundred fifty-two".