553303872 has 280 divisors, whose sum is σ = 1852891392. Its totient is φ = 161740800.

The previous prime is 553303867. The next prime is 553303873. The reversal of 553303872 is 278303355.

553303872 is a `hidden beast` number, since 553 + 3 + 0 + 38 + 72 = 666.

553303872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553303872² = 612290349540384768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553303873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1767588 + ... + 1767900.

Almost surely, 2^553303872 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 553303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926445696).

553303872 is an abundant number, since it is smaller than the sum of its proper divisors (1299587520).

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

553303872 is a wasteful number, since it uses less digits than its factorization.

553303872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 553303872 is about 23522.4121212090. The cubic root of 553303872 is about 820.9585617545.

The spelling of 553303872 in words is "five hundred fifty-three million, three hundred three thousand, eight hundred seventy-two".