46004 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 18720.

The previous prime is 45989. The next prime is 46021. The reversal of 46004 is 40064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 46004.

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 46004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁴⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

46004 is an abundant number, since it is smaller than the sum of its proper divisors (50764).

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

46004 is a wasteful number, since it uses less digits than its factorization.

46004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

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

The square root of 46004 is about 214.4854307406. The cubic root of 46004 is about 35.8315172447.

Adding to 46004 its reverse (40064), we get a palindrome (86068).

The spelling of 46004 in words is "forty-six thousand, four", and thus it is an eban number.