2408 has 16 divisors (see below), whose sum is σ = 5280. Its totient is φ = 1008.

The previous prime is 2399. The next prime is 2411. The reversal of 2408 is 8042.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 11, base 12 and base 13.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2392 and 2401.

It is a congruent number.

It is an unprimeable number.

2408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (330).

2408 is a gapful number since it is divisible by the number (28) 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 2408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640).

2408 is an abundant number, since it is smaller than the sum of its proper divisors (2872).

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

2408 is a wasteful number, since it uses less digits than its factorization.

2408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2408 is about 49.0713765855. The cubic root of 2408 is about 13.4035187908.

The spelling of 2408 in words is "two thousand, four hundred eight".

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