553344064 has 140 divisors (see below), whose sum is σ = 1384489484. Its totient is φ = 218115072.

The previous prime is 553344047. The next prime is 553344073. The reversal of 553344064 is 460443355.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 464833600 = 9408^2 + 21560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1997494 + ... + 1997770.

Almost surely, 2^553344064 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 553344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692244742).

553344064 is an abundant number, since it is smaller than the sum of its proper divisors (831145420).

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

553344064 is an equidigital number, since it uses as much as digits as its factorization.

553344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 553344064 is about 23523.2664398463. The cubic root of 553344064 is about 820.9784394199.

The spelling of 553344064 in words is "five hundred fifty-three million, three hundred forty-four thousand, sixty-four".