412709 has 8 divisors (see below), whose sum is σ = 476928. Its totient is φ = 352960.

The previous prime is 412667. The next prime is 412717. The reversal of 412709 is 907214.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 412709 - 2¹⁶ = 347173 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412739) 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, 917 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (59616).

2⁴¹²⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

412709 is a deficient number, since it is larger than the sum of its proper divisors (64219).

412709 is a wasteful number, since it uses less digits than its factorization.

412709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 412709 is about 642.4243146083. The cubic root of 412709 is about 74.4528476608.

Subtracting from 412709 its sum of digits (23), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 412709 in words is "four hundred twelve thousand, seven hundred nine".