4131408 has 80 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1259520.

The previous prime is 4131373. The next prime is 4131409. The reversal of 4131408 is 8041314.

It is a super-3 number, since 3×4131408³ (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131409) 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, 49735 + ... + 49817.

Almost surely, 2^4131408 is an apocalyptic number.

4131408 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 4131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4131408 is an abundant number, since it is smaller than the sum of its proper divisors (7492848).

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

4131408 is a wasteful number, since it uses less digits than its factorization.

4131408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4131408 is about 2032.5865295234. The cubic root of 4131408 is about 160.4597195139.

The spelling of 4131408 in words is "four million, one hundred thirty-one thousand, four hundred eight".