406004 has 6 divisors (see below), whose sum is σ = 710514. Its totient is φ = 203000.

The previous prime is 405997. The next prime is 406013. The reversal of 406004 is 400604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 357604 + 48400 = 598^2 + 220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 406004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50747 + ... + 50754.

It is an arithmetic number, because the mean of its divisors is an integer number (118419).

2⁴⁰⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

406004 is a deficient number, since it is larger than the sum of its proper divisors (304510).

406004 is a wasteful number, since it uses less digits than its factorization.

406004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101505 (or 101503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 406004 is about 637.1844316993. The cubic root of 406004 is about 74.0474494808.

Adding to 406004 its reverse (400604), we get a palindrome (806608).

It can be divided in two parts, 40600 and 4, that added together give a palindrome (40604).

The spelling of 406004 in words is "four hundred six thousand, four".