553216000 has 96 divisors (see below), whose sum is σ = 1381128840. Its totient is φ = 221184000.

The previous prime is 553215997. The next prime is 553216019. The reversal of 553216000 is 612355.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195552256 + 357663744 = 13984^2 + 18912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254920 + ... + 257080.

Almost surely, 2^553216000 is an apocalyptic number.

553216000 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 553216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690564420).

553216000 is an abundant number, since it is smaller than the sum of its proper divisors (827912840).

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

553216000 is an equidigital number, since it uses as much as digits as its factorization.

553216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 553216000 is about 23520.5442113910. The cubic root of 553216000 is about 820.9150997477.

Adding to 553216000 its reverse (612355), we get a palindrome (553828355).

The spelling of 553216000 in words is "five hundred fifty-three million, two hundred sixteen thousand".