247930560 has 168 divisors, whose sum is σ = 880603776. Its totient is φ = 63959040.

The previous prime is 247930537. The next prime is 247930597. The reversal of 247930560 is 65039742.

247930560 is a `hidden beast` number, since 2 + 4 + 7 + 93 + 0 + 560 = 666.

247930560 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 2×247930560² = 122939125163827200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87892 + ... + 90668.

Almost surely, 2^247930560 is an apocalyptic number.

247930560 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 247930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440301888).

247930560 is an abundant number, since it is smaller than the sum of its proper divisors (632673216).

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

247930560 is a wasteful number, since it uses less digits than its factorization.

247930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 247930560 is about 15745.8108714667. The cubic root of 247930560 is about 628.2174858989.

The spelling of 247930560 in words is "two hundred forty-seven million, nine hundred thirty thousand, five hundred sixty".