412263 has 8 divisors (see below), whose sum is σ = 610800. Its totient is φ = 274824.

The previous prime is 412253. The next prime is 412273. The reversal of 412263 is 362214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412253) and next prime (412273).

It is not a de Polignac number, because 412263 - 2⁸ = 412007 is a prime.

412263 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7608 + ... + 7661.

It is an arithmetic number, because the mean of its divisors is an integer number (76350).

2⁴¹²²⁶³ is an apocalyptic number.

412263 is a deficient number, since it is larger than the sum of its proper divisors (198537).

412263 is a wasteful number, since it uses less digits than its factorization.

412263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278 (or 15272 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 412263 is about 642.0770981744. The cubic root of 412263 is about 74.4260184754.

Adding to 412263 its reverse (362214), we get a palindrome (774477).

It can be divided in two parts, 41 and 2263, that added together give a square (2304 = 48²).

The spelling of 412263 in words is "four hundred twelve thousand, two hundred sixty-three".