846256257 has 48 divisors (see below), whose sum is σ = 1604229120. Its totient is φ = 416469600.

The previous prime is 846256253. The next prime is 846256283. The reversal of 846256257 is 752652648.

846256257 is a `hidden beast` number, since 84 + 6 + 2 + 562 + 5 + 7 = 666.

It is not a de Polignac number, because 846256257 - 2² = 846256253 is a prime.

It is a super-2 number, since 2×846256257² = 1432299305023300098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (846256253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18969 + ... + 45302.

It is an arithmetic number, because the mean of its divisors is an integer number (33421440).

Almost surely, 2^846256257 is an apocalyptic number.

It is an amenable number.

846256257 is a deficient number, since it is larger than the sum of its proper divisors (757972863).

846256257 is a wasteful number, since it uses less digits than its factorization.

846256257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64314 (or 64311 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 846256257 is about 29090.4839595356. The cubic root of 846256257 is about 945.8754732263.

The spelling of 846256257 in words is "eight hundred forty-six million, two hundred fifty-six thousand, two hundred fifty-seven".