412457825 has 24 divisors (see below), whose sum is σ = 583197048. Its totient is φ = 286663680.

The previous prime is 412457813. The next prime is 412457831. The reversal of 412457825 is 528754214.

It can be written as a sum of positive squares in 12 ways, for example, as 63552784 + 348905041 = 7972^2 + 18679^2 .

It is not a de Polignac number, because 412457825 - 2⁴ = 412457809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31802 + ... + 42851.

It is an arithmetic number, because the mean of its divisors is an integer number (24299877).

Almost surely, 2^412457825 is an apocalyptic number.

It is an amenable number.

412457825 is a deficient number, since it is larger than the sum of its proper divisors (170739223).

412457825 is a wasteful number, since it uses less digits than its factorization.

412457825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74693 (or 74688 counting only the distinct ones).

The product of its digits is 89600, while the sum is 38.

The square root of 412457825 is about 20309.0577083232. The cubic root of 412457825 is about 744.3774057641.

The spelling of 412457825 in words is "four hundred twelve million, four hundred fifty-seven thousand, eight hundred twenty-five".