46002 has 32 divisors (see below), whose sum is σ = 108864. Its totient is φ = 12800.

The previous prime is 45989. The next prime is 46021. The reversal of 46002 is 20064.

Added to its reverse (20064) it gives a triangular number (66066 = T₃₆₃).

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 46002.

It is an unprimeable number.

46002 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 15 ways as a sum of consecutive naturals, for example, 1102 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁴⁶⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

46002 is an abundant number, since it is smaller than the sum of its proper divisors (62862).

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

46002 is a wasteful number, since it uses less digits than its factorization.

46002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 46002 is about 214.4807683686. The cubic root of 46002 is about 35.8309979849.

Subtracting from 46002 its product of nonzero digits (48), we obtain a palindrome (45954).

Adding to 46002 its reverse (20064), we get a palindrome (66066).

It can be divided in two parts, 4 and 6002, that added together give a palindrome (6006).

The spelling of 46002 in words is "forty-six thousand, two", and thus it is an eban number.