247791960 has 384 divisors, whose sum is σ = 941129280. Its totient is φ = 58226688.

The previous prime is 247791911. The next prime is 247791967. The reversal of 247791960 is 69197742.

247791960 is a `hidden beast` number, since 2 + 477 + 91 + 96 + 0 = 666.

It is a super-2 number, since 2×247791960² = 122801710881283200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247791967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4675294 + ... + 4675346.

Almost surely, 2^247791960 is an apocalyptic number.

247791960 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 247791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

247791960 is an abundant number, since it is smaller than the sum of its proper divisors (693337320).

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

247791960 is a wasteful number, since it uses less digits than its factorization.

247791960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 247791960 is about 15741.4090855933. The cubic root of 247791960 is about 628.1004004623.

The spelling of 247791960 in words is "two hundred forty-seven million, seven hundred ninety-one thousand, nine hundred sixty".