4133808 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1180224.

The previous prime is 4133807. The next prime is 4133821. The reversal of 4133808 is 8083314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4133807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 2^4133808 is an apocalyptic number.

4133808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

4133808 is an abundant number, since it is smaller than the sum of its proper divisors (9436752).

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

4133808 is a wasteful number, since it uses less digits than its factorization.

4133808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4133808 is about 2033.1768245777. The cubic root of 4133808 is about 160.4907846923.

The spelling of 4133808 in words is "four million, one hundred thirty-three thousand, eight hundred eight".