462208 has 32 divisors (see below), whose sum is σ = 966960. Its totient is φ = 219648.

The previous prime is 462199. The next prime is 462221. The reversal of 462208 is 802264.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 4⁷ + 6⁷ + 2¹¹ + 2¹⁷ + 0 + 8⁵ .

It is a congruent number.

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, 2866 + ... + 3022.

2⁴⁶²²⁰⁸ 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 462208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483480).

462208 is an abundant number, since it is smaller than the sum of its proper divisors (504752).

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

462208 is a wasteful number, since it uses less digits than its factorization.

462208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 462208 is about 679.8588088714. The cubic root of 462208 is about 77.3177402833.

It can be divided in two parts, 4 and 62208, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 462208 in words is "four hundred sixty-two thousand, two hundred eight".