415004 has 18 divisors (see below), whose sum is σ = 773640. Its totient is φ = 194752.

The previous prime is 414991. The next prime is 415013. The reversal of 415004 is 400514.

415004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 415004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415004.

It is an unprimeable number.

415004 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 5 ways as a sum of consecutive naturals, for example, 977 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (42980).

2⁴¹⁵⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

415004 is a deficient number, since it is larger than the sum of its proper divisors (358636).

415004 is a wasteful number, since it uses less digits than its factorization.

415004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 415004 is about 644.2080409309. The cubic root of 415004 is about 74.5905989059.

Adding to 415004 its reverse (400514), we get a palindrome (815518).

The spelling of 415004 in words is "four hundred fifteen thousand, four".