552800 has 36 divisors (see below), whose sum is σ = 1351476. Its totient is φ = 220800.

The previous prime is 552793. The next prime is 552809. The reversal of 552800 is 8255.

552800 = T₁₂₃ + T₁₂₄ + ... + T₁₇₂.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552809) by changing a digit.

552800 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 5 ways as a sum of consecutive naturals, for example, 455 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (37541).

2⁵⁵²⁸⁰⁰ is an apocalyptic number.

552800 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 552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675738).

552800 is an abundant number, since it is smaller than the sum of its proper divisors (798676).

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

552800 is a wasteful number, since it uses less digits than its factorization.

552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 552800 is about 743.5052118176. The cubic root of 552800 is about 82.0709281215.

The spelling of 552800 in words is "five hundred fifty-two thousand, eight hundred".