406000 has 80 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 134400.

The previous prime is 405997. The next prime is 406013. The reversal of 406000 is 604.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13986 + ... + 14014.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2⁴⁰⁶⁰⁰⁰ is an apocalyptic number.

406000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

406000 is an abundant number, since it is smaller than the sum of its proper divisors (754640).

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

406000 is a wasteful number, since it uses less digits than its factorization.

406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 406000 is about 637.1812928830. The cubic root of 406000 is about 74.0472063052.

Adding to 406000 its reverse (604), we get a palindrome (406604).

The spelling of 406000 in words is "four hundred six thousand".