247235040 has 288 divisors, whose sum is σ = 931222656. Its totient is φ = 59351040.

The previous prime is 247235017. The next prime is 247235047. The reversal of 247235040 is 40532742.

247235040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×247235040² = 122250330007603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247234995 and 247235013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247235047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879700 + ... + 879980.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2^247235040 is an apocalyptic number.

247235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

247235040 is an abundant number, since it is smaller than the sum of its proper divisors (683987616).

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

247235040 is a wasteful number, since it uses less digits than its factorization.

247235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 247235040 is about 15723.7094859960. The cubic root of 247235040 is about 627.6294892107.

Adding to 247235040 its reverse (40532742), we get a palindrome (287767782).

The spelling of 247235040 in words is "two hundred forty-seven million, two hundred thirty-five thousand, forty".