415406 has 8 divisors (see below), whose sum is σ = 626520. Its totient is φ = 206568.

The previous prime is 415391. The next prime is 415409. The reversal of 415406 is 604514.

It is a happy number.

415406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415409) by changing a digit.

415406 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (78315).

2⁴¹⁵⁴⁰⁶ is an apocalyptic number.

415406 is a deficient number, since it is larger than the sum of its proper divisors (211114).

415406 is a wasteful number, since it uses less digits than its factorization.

415406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 415406 is about 644.5199764166. The cubic root of 415406 is about 74.6146755767.

It can be divided in two parts, 415 and 406, that multiplied together give a triangular number (168490 = T₅₈₀).

The spelling of 415406 in words is "four hundred fifteen thousand, four hundred six".