407106 has 40 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 115992.

The previous prime is 407083. The next prime is 407119. The reversal of 407106 is 601704.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is an unprimeable number.

407106 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 19 ways as a sum of consecutive naturals, for example, 955 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2⁴⁰⁷¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

407106 is an abundant number, since it is smaller than the sum of its proper divisors (638334).

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

407106 is a wasteful number, since it uses less digits than its factorization.

407106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 407106 is about 638.0485874916. The cubic root of 407106 is about 74.1143836098.

The spelling of 407106 in words is "four hundred seven thousand, one hundred six".