410712 has 32 divisors (see below), whose sum is σ = 1042800. Its totient is φ = 134784.

The previous prime is 410701. The next prime is 410717. The reversal of 410712 is 217014.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 410691 and 410700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410717) by changing a digit.

410712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2538 + ... + 2694.

2⁴¹⁰⁷¹² is an apocalyptic number.

It is an amenable number.

410712 is an abundant number, since it is smaller than the sum of its proper divisors (632088).

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

410712 is a wasteful number, since it uses less digits than its factorization.

410712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 410712 is about 640.8681611689. The cubic root of 410712 is about 74.3325669495.

Adding to 410712 its reverse (217014), we get a palindrome (627726).

It can be divided in two parts, 4107 and 12, that multiplied together give a square (49284 = 222²).

The spelling of 410712 in words is "four hundred ten thousand, seven hundred twelve", and thus it is an iban number.