247129056 has 144 divisors (see below), whose sum is σ = 742171248. Its totient is φ = 80870400.

The previous prime is 247129049. The next prime is 247129081. The reversal of 247129056 is 650921742.

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

It is a super-3 number, since 3×247129056³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 247129056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474076 + ... + 474596.

It is an arithmetic number, because the mean of its divisors is an integer number (5153967).

Almost surely, 2^247129056 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 247129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371085624).

247129056 is an abundant number, since it is smaller than the sum of its proper divisors (495042192).

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

247129056 is an equidigital number, since it uses as much as digits as its factorization.

247129056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 247129056 is about 15720.3389276440. The cubic root of 247129056 is about 627.5397929295.

The spelling of 247129056 in words is "two hundred forty-seven million, one hundred twenty-nine thousand, fifty-six".