247246272 has 336 divisors, whose sum is σ = 898672320. Its totient is φ = 63258624.

The previous prime is 247246271. The next prime is 247246303. The reversal of 247246272 is 272642742.

247246272 is a `hidden beast` number, since 2 + 4 + 7 + 24 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×247246272³ (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247246271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2778004 + ... + 2778092.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^247246272 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 247246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

247246272 is an abundant number, since it is smaller than the sum of its proper divisors (651426048).

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

247246272 is a wasteful number, since it uses less digits than its factorization.

247246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 247246272 is about 15724.0666495662. The cubic root of 247246272 is about 627.6389935643.

The spelling of 247246272 in words is "two hundred forty-seven million, two hundred forty-six thousand, two hundred seventy-two".