412461361 has 8 divisors (see below), whose sum is σ = 470318184. Its totient is φ = 358337280.

The previous prime is 412461349. The next prime is 412461373. The reversal of 412461361 is 163164214.

It is an interprime number because it is at equal distance from previous prime (412461349) and next prime (412461373).

It can be written as a sum of positive squares in 4 ways, for example, as 20421361 + 392040000 = 4519^2 + 19800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 412461361 - 2²¹ = 410364209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412461661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932950 + ... + 933391.

It is an arithmetic number, because the mean of its divisors is an integer number (58789773).

Almost surely, 2^412461361 is an apocalyptic number.

It is an amenable number.

412461361 is a deficient number, since it is larger than the sum of its proper divisors (57856823).

412461361 is a wasteful number, since it uses less digits than its factorization.

412461361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866371.

The product of its digits is 3456, while the sum is 28.

The square root of 412461361 is about 20309.1447628895. The cubic root of 412461361 is about 744.3795329399.

The spelling of 412461361 in words is "four hundred twelve million, four hundred sixty-one thousand, three hundred sixty-one".