247941648 has 140 divisors (see below), whose sum is σ = 746103660. Its totient is φ = 79688448.

The previous prime is 247941647. The next prime is 247941691. The reversal of 247941648 is 846149742.

It can be written as a sum of positive squares in 2 ways, for example, as 200165904 + 47775744 = 14148^2 + 6912^2 .

It is a super-2 number, since 2×247941648² = 122950121625911808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247941643) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 337890 + ... + 338622.

Almost surely, 2^247941648 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 247941648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373051830).

247941648 is an abundant number, since it is smaller than the sum of its proper divisors (498162012).

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

247941648 is an equidigital number, since it uses as much as digits as its factorization.

247941648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 247941648 is about 15746.1629611788. The cubic root of 247941648 is about 628.2268508486.

The spelling of 247941648 in words is "two hundred forty-seven million, nine hundred forty-one thousand, six hundred forty-eight".