247000320 has 288 divisors, whose sum is σ = 1002704640. Its totient is φ = 56401920.

The previous prime is 247000319. The next prime is 247000321. The reversal of 247000320 is 23000742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (247000319) and next prime (247000321).

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

It is a super-2 number, since 2×247000320² = 122018316160204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 247000293 and 247000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247000321) 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 31 ways as a sum of consecutive naturals, for example, 241410 + ... + 242430.

Almost surely, 2^247000320 is an apocalyptic number.

247000320 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 247000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501352320).

247000320 is an abundant number, since it is smaller than the sum of its proper divisors (755704320).

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

247000320 is a wasteful number, since it uses less digits than its factorization.

247000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 247000320 is about 15716.2438260546. The cubic root of 247000320 is about 627.4308066962.

The spelling of 247000320 in words is "two hundred forty-seven million, three hundred twenty", and thus it is an aban number.