412861761 has 27 divisors (see below), whose sum is σ = 646999977. Its totient is φ = 253581120.

The previous prime is 412861739. The next prime is 412861781. The reversal of 412861761 is 167168214.

It is a happy number.

The square root of 412861761 is 20319.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135839025 + 277022736 = 11655^2 + 16644^2 .

It is not a de Polignac number, because 412861761 - 2⁹ = 412861249 is a prime.

It is a super-2 number, since 2×412861761² = 340909667392042242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412861721) 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 26 ways as a sum of consecutive naturals, for example, 792181 + ... + 792701.

Almost surely, 2^412861761 is an apocalyptic number.

412861761 is the 20319-th square number.

412861761 is the 10160-th centered octagonal number.

It is an amenable number.

412861761 is a deficient number, since it is larger than the sum of its proper divisors (234138216).

412861761 is an equidigital number, since it uses as much as digits as its factorization.

412861761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The cubic root of 412861761 is about 744.6203257354.

Multiplying 412861761 by its sum of digits (36), we get a square (14863023396 = 121914²).

The spelling of 412861761 in words is "four hundred twelve million, eight hundred sixty-one thousand, seven hundred sixty-one".