553743360 has 264 divisors, whose sum is σ = 1960059816. Its totient is φ = 144506880.

The previous prime is 553743341. The next prime is 553743367. The reversal of 553743360 is 63347355.

553743360 is a `hidden beast` number, since 553 + 7 + 43 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 491774976 = 7872^2 + 22176^2 .

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 (553743367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810782 + ... + 2810978.

It is an arithmetic number, because the mean of its divisors is an integer number (7424469).

Almost surely, 2^553743360 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 553743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980029908).

553743360 is an abundant number, since it is smaller than the sum of its proper divisors (1406316456).

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

553743360 is a wasteful number, since it uses less digits than its factorization.

553743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 553743360 is about 23531.7521659565. The cubic root of 553743360 is about 821.1758660659.

The spelling of 553743360 in words is "five hundred fifty-three million, seven hundred forty-three thousand, three hundred sixty".