4208352 has 48 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1377152.

The previous prime is 4208341. The next prime is 4208357. The reversal of 4208352 is 2538024.

4208352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4¹¹ + 2⁵ + 0 + 8³ + 3⁷ + 5⁵ + 2¹³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5293 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^4208352 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 4208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4208352 is an abundant number, since it is smaller than the sum of its proper divisors (7040928).

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

4208352 is a wasteful number, since it uses less digits than its factorization.

4208352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4208352 is about 2051.4268205325. The cubic root of 4208352 is about 161.4497410602.

It can be divided in two parts, 4208 and 352, that added together give a triangular number (4560 = T₉₅).

The spelling of 4208352 in words is "four million, two hundred eight thousand, three hundred fifty-two".