407104 has 14 divisors (see below), whose sum is σ = 807974. Its totient is φ = 203520.

The previous prime is 407083. The next prime is 407119. The reversal of 407104 is 401704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 102400 = 552^2 + 320^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

407104 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3117 + ... + 3244.

2⁴⁰⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

407104 is a deficient number, since it is larger than the sum of its proper divisors (400870).

407104 is an equidigital number, since it uses as much as digits as its factorization.

407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 407104 is about 638.0470202109. The cubic root of 407104 is about 74.1142622417.

Adding to 407104 its reverse (401704), we get a palindrome (808808).

The spelling of 407104 in words is "four hundred seven thousand, one hundred four", and thus it is an iban number.