247985280 has 256 divisors, whose sum is σ = 893030400. Its totient is φ = 65028096.

The previous prime is 247985263. The next prime is 247985281. The reversal of 247985280 is 82589742.

247985280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247985280² = 122993398193356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (247985281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952577 + ... + 1952703.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^247985280 is an apocalyptic number.

247985280 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 247985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

247985280 is an abundant number, since it is smaller than the sum of its proper divisors (645045120).

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

247985280 is a wasteful number, since it uses less digits than its factorization.

247985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 247985280 is about 15747.5483806210. The cubic root of 247985280 is about 628.2636998229.

The spelling of 247985280 in words is "two hundred forty-seven million, nine hundred eighty-five thousand, two hundred eighty".