412782 has 16 divisors (see below), whose sum is σ = 835920. Its totient is φ = 135872.

The previous prime is 412771. The next prime is 412793. The reversal of 412782 is 287214.

It is an interprime number because it is at equal distance from previous prime (412771) and next prime (412793).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412782.

It is an unprimeable number.

412782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (52245).

2⁴¹²⁷⁸² is an apocalyptic number.

412782 is an abundant number, since it is smaller than the sum of its proper divisors (423138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412782 is a wasteful number, since it uses less digits than its factorization.

412782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867.

The product of its digits is 896, while the sum is 24.

The square root of 412782 is about 642.4811281275. The cubic root of 412782 is about 74.4572371438.

Adding to 412782 its reverse (287214), we get a palindrome (699996).

The spelling of 412782 in words is "four hundred twelve thousand, seven hundred eighty-two".