416004 has 12 divisors (see below), whose sum is σ = 970704. Its totient is φ = 138664.

The previous prime is 415999. The next prime is 416011. The reversal of 416004 is 400614.

416004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 17322 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (80892).

2⁴¹⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

416004 is an abundant number, since it is smaller than the sum of its proper divisors (554700).

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

416004 is a wasteful number, since it uses less digits than its factorization.

416004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 416004 is about 644.9837207248. The cubic root of 416004 is about 74.6504623991.

Adding to 416004 its reverse (400614), we get a palindrome (816618).

The spelling of 416004 in words is "four hundred sixteen thousand, four".