4607317242 has 144 divisors (see below), whose sum is σ = 11293551360. Its totient is φ = 1355914560.

The previous prime is 4607317217. The next prime is 4607317331. The reversal of 4607317242 is 2427137064.

4607317242 is a `hidden beast` number, since 4 + 607 + 3 + 1 + 7 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4607317197 and 4607317206.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19277359 + ... + 19277597.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^4607317242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4607317242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

4607317242 is an abundant number, since it is smaller than the sum of its proper divisors (6686234118).

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

4607317242 is a wasteful number, since it uses less digits than its factorization.

4607317242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4607317242 is about 67877.2218199891. The cubic root of 4607317242 is about 1663.9848672367.

The spelling of 4607317242 in words is "four billion, six hundred seven million, three hundred seventeen thousand, two hundred forty-two".