247380480 has 200 divisors, whose sum is σ = 886781412. Its totient is φ = 65912832.

The previous prime is 247380473. The next prime is 247380487. The reversal of 247380480 is 84083742.

247380480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (247380473) and next prime (247380487).

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 1016064 = 15696^2 + 1008^2 .

It is a super-2 number, since 2×247380480² = 122394203770060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (247380487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206764 + ... + 207956.

Almost surely, 2^247380480 is an apocalyptic number.

247380480 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 247380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443390706).

247380480 is an abundant number, since it is smaller than the sum of its proper divisors (639400932).

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

247380480 is an equidigital number, since it uses as much as digits as its factorization.

247380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 247380480 is about 15728.3336688919. Note that the first 3 decimals coincide. The cubic root of 247380480 is about 627.7525361425.

The spelling of 247380480 in words is "two hundred forty-seven million, three hundred eighty thousand, four hundred eighty".