406704 has 40 divisors (see below), whose sum is σ = 1083760. Its totient is φ = 131328.

The previous prime is 406699. The next prime is 406717. The reversal of 406704 is 407604.

It is an unprimeable number.

406704 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, 1662 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (27094).

2⁴⁰⁶⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541880).

406704 is an abundant number, since it is smaller than the sum of its proper divisors (677056).

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

406704 is a wasteful number, since it uses less digits than its factorization.

406704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 406704 is about 637.7334866541. The cubic root of 406704 is about 74.0899806334.

Subtracting 406704 from its reverse (407604), we obtain a square (900 = 30²).

The spelling of 406704 in words is "four hundred six thousand, seven hundred four".