553273344 has 144 divisors (see below), whose sum is σ = 1721619900. Its totient is φ = 170164224.

The previous prime is 553273319. The next prime is 553273361. The reversal of 553273344 is 443372355.

553273344 is a `hidden beast` number, since 553 + 2 + 73 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553190400 + 82944 = 23520^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×553273344² = 612222786361884672, which contains 22 as substring.

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 553273299 and 553273308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238462 + ... + 240770.

Almost surely, 2^553273344 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 553273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860809950).

553273344 is an abundant number, since it is smaller than the sum of its proper divisors (1168346556).

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

553273344 is a wasteful number, since it uses less digits than its factorization.

553273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2327 counting only the distinct ones).

The product of its digits is 151200, while the sum is 36.

The square root of 553273344 is about 23521.7631992162. The cubic root of 553273344 is about 820.9434629483.

The spelling of 553273344 in words is "five hundred fifty-three million, two hundred seventy-three thousand, three hundred forty-four".