362848 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 157696.

The previous prime is 362801. The next prime is 362851. The reversal of 362848 is 848263.

It is a happy number.

362848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×362848² = 263317342208, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 12498 + ... + 12526.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³⁶²⁸⁴⁸ 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 362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

362848 is an abundant number, since it is smaller than the sum of its proper divisors (453632).

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

362848 is a wasteful number, since it uses less digits than its factorization.

362848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 362848 is about 602.3686578832. The cubic root of 362848 is about 71.3249667500.

The spelling of 362848 in words is "three hundred sixty-two thousand, eight hundred forty-eight".