412130601 has 27 divisors (see below), whose sum is σ = 610360023. Its totient is φ = 267973200.

The previous prime is 412130599. The next prime is 412130623. The reversal of 412130601 is 106031214.

412130601 = 1³ + 2³ + ... + 201³.

It is a happy number.

The square root of 412130601 is 20301.

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

412130601 is a `hidden beast` number, since 41 + 21 + 3 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395970201 + 16160400 = 19899^2 + 4020^2 .

It is not a de Polignac number, because 412130601 - 2¹ = 412130599 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (412140601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4080451 + ... + 4080551.

Almost surely, 2^412130601 is an apocalyptic number.

412130601 is the 20301-st square number.

412130601 is the 10151-st centered octagonal number.

It is an amenable number.

412130601 is a deficient number, since it is larger than the sum of its proper divisors (198229422).

412130601 is an equidigital number, since it uses as much as digits as its factorization.

412130601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 412130601 is about 744.1805027272.

Multiplying 412130601 by its product of nonzero digits (144), we get a square (59346806544 = 243612²).

Adding to 412130601 its reverse (106031214), we get a palindrome (518161815).

The spelling of 412130601 in words is "four hundred twelve million, one hundred thirty thousand, six hundred one".