247740480 has 252 divisors, whose sum is σ = 924526980. Its totient is φ = 60862464.

The previous prime is 247740463. The next prime is 247740481. The reversal of 247740480 is 84047742.

247740480 is a `hidden beast` number, since 247 + 7 + 404 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20575296 + 227165184 = 4536^2 + 15072^2 .

It is a super-2 number, since 2×247740480² = 122750690861260800, 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 (247740481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486466 + ... + 486974.

Almost surely, 2^247740480 is an apocalyptic number.

247740480 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 247740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462263490).

247740480 is an abundant number, since it is smaller than the sum of its proper divisors (676786500).

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

247740480 is a wasteful number, since it uses less digits than its factorization.

247740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 247740480 is about 15739.7738230255. The cubic root of 247740480 is about 628.0569004659.

The spelling of 247740480 in words is "two hundred forty-seven million, seven hundred forty thousand, four hundred eighty".