553488768 has 256 divisors, whose sum is σ = 1891814400. Its totient is φ = 156045312.

The previous prime is 553488743. The next prime is 553488781. The reversal of 553488768 is 867884355.

553488768 is a `hidden beast` number, since 553 + 4 + 8 + 87 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314221 + ... + 3314387.

It is an arithmetic number, because the mean of its divisors is an integer number (7389900).

Almost surely, 2^553488768 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 553488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945907200).

553488768 is an abundant number, since it is smaller than the sum of its proper divisors (1338325632).

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

553488768 is a wasteful number, since it uses less digits than its factorization.

553488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 553488768 is about 23526.3420021048. The cubic root of 553488768 is about 821.0499973755.

The spelling of 553488768 in words is "five hundred fifty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".