553793760 has 480 divisors, whose sum is σ = 2228355360. Its totient is φ = 128397312.

The previous prime is 553793753. The next prime is 553793761. The reversal of 553793760 is 67397355.

553793760 is a `hidden beast` number, since 553 + 7 + 9 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×553793760² = 613375057229875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553793761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3201034 + ... + 3201206.

It is an arithmetic number, because the mean of its divisors is an integer number (4642407).

Almost surely, 2^553793760 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 553793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114177680).

553793760 is an abundant number, since it is smaller than the sum of its proper divisors (1674561600).

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

553793760 is a wasteful number, since it uses less digits than its factorization.

553793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 553793760 is about 23532.8230350717. The cubic root of 553793760 is about 821.2007789353.

The spelling of 553793760 in words is "five hundred fifty-three million, seven hundred ninety-three thousand, seven hundred sixty".