412825257 has 36 divisors (see below), whose sum is σ = 655500144. Its totient is φ = 250192800.

The previous prime is 412825253. The next prime is 412825261. The reversal of 412825257 is 752528214.

It is a happy number.

412825257 is a `hidden beast` number, since 4 + 128 + 2 + 525 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (412825253) and next prime (412825261).

It is not a de Polignac number, because 412825257 - 2² = 412825253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412825253) 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, 99882 + ... + 103932.

Almost surely, 2^412825257 is an apocalyptic number.

It is an amenable number.

412825257 is a deficient number, since it is larger than the sum of its proper divisors (242674887).

412825257 is a wasteful number, since it uses less digits than its factorization.

412825257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4134 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 412825257 is about 20318.1017075907. The cubic root of 412825257 is about 744.5983793891.

The spelling of 412825257 in words is "four hundred twelve million, eight hundred twenty-five thousand, two hundred fifty-seven".