552279200 has 144 divisors (see below), whose sum is σ = 1488279744. Its totient is φ = 198451200.

The previous prime is 552279199. The next prime is 552279209. The reversal of 552279200 is 2972255.

It is a happy number.

552279200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (552279209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853277 + ... + 853923.

It is an arithmetic number, because the mean of its divisors is an integer number (10335276).

Almost surely, 2^552279200 is an apocalyptic number.

552279200 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 552279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744139872).

552279200 is an abundant number, since it is smaller than the sum of its proper divisors (936000544).

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

552279200 is a wasteful number, since it uses less digits than its factorization.

552279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 552279200 is about 23500.6212683835. The cubic root of 552279200 is about 820.4514666397.

The spelling of 552279200 in words is "five hundred fifty-two million, two hundred seventy-nine thousand, two hundred".