8460391257 has 36 divisors (see below), whose sum is σ = 12668376240. Its totient is φ = 5440656240.

The previous prime is 8460391253. The next prime is 8460391259. The reversal of 8460391257 is 7521930648.

8460391257 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 391 + 257 = 666.

8460391257 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8460391257 - 2² = 8460391253 is a prime.

8460391257 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (8460391253) 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, 2999794 + ... + 3002612.

It is an arithmetic number, because the mean of its divisors is an integer number (351899340).

It is a 1-persistent number, because it is pandigital, but 2⋅8460391257 = 16920782514 is not.

Almost surely, 2^8460391257 is an apocalyptic number.

It is an amenable number.

8460391257 is a deficient number, since it is larger than the sum of its proper divisors (4207984983).

8460391257 is a wasteful number, since it uses less digits than its factorization.

With its successor (8460391258) it forms an eRAP, since the sums of their prime factors are consecutive (3234 and 3235).

8460391257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8460391257 is about 91980.3851753188. The cubic root of 8460391257 is about 2037.6526294234.

It can be divided in two parts, 8460391 and 257, that added together give a palindrome (8460648).

The spelling of 8460391257 in words is "eight billion, four hundred sixty million, three hundred ninety-one thousand, two hundred fifty-seven".