412641 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 241920.

The previous prime is 412639. The next prime is 412651. The reversal of 412641 is 146214.

It is not a de Polignac number, because 412641 - 2¹ = 412639 is a prime.

It is a Curzon number.

412641 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13296 + ... + 13326.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴¹²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

412641 is a deficient number, since it is larger than the sum of its proper divisors (278559).

412641 is a wasteful number, since it uses less digits than its factorization.

412641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 412641 is about 642.3713879058. The cubic root of 412641 is about 74.4487583616.

Adding to 412641 its reverse (146214), we get a palindrome (558855).

The spelling of 412641 in words is "four hundred twelve thousand, six hundred forty-one".