46208 has 24 divisors (see below), whose sum is σ = 97155. Its totient is φ = 21888.

The previous prime is 46199. The next prime is 46219. The reversal of 46208 is 80264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 23104 = 152^2 + 152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=152.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2423 + ... + 2441.

2⁴⁶²⁰⁸ 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 46208

46208 is an abundant number, since it is smaller than the sum of its proper divisors (50947).

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

46208 is an equidigital number, since it uses as much as digits as its factorization.

46208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 46208 is about 214.9604614807. The cubic root of 46208 is about 35.8844028739.

The spelling of 46208 in words is "forty-six thousand, two hundred eight".