412772 has 12 divisors (see below), whose sum is σ = 742140. Its totient is φ = 200736.

The previous prime is 412771. The next prime is 412793. The reversal of 412772 is 277214.

It can be written as a sum of positive squares in 2 ways, for example, as 320356 + 92416 = 566^2 + 304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1247 + ... + 1542.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2⁴¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

412772 is a deficient number, since it is larger than the sum of its proper divisors (329368).

412772 is a wasteful number, since it uses less digits than its factorization.

412772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2828 counting only the distinct ones).

The product of its digits is 784, while the sum is 23.

The square root of 412772 is about 642.4733457506. The cubic root of 412772 is about 74.4566358754.

Adding to 412772 its reverse (277214), we get a palindrome (689986).

The spelling of 412772 in words is "four hundred twelve thousand, seven hundred seventy-two", and thus it is an iban number.