5001408 has 84 divisors (see below), whose sum is σ = 15123160. Its totient is φ = 1575936.

The previous prime is 5001407. The next prime is 5001413. The reversal of 5001408 is 8041005.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5001407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10716 + ... + 11172.

Almost surely, 2^5001408 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 5001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561580).

5001408 is an abundant number, since it is smaller than the sum of its proper divisors (10121752).

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

5001408 is a wasteful number, since it uses less digits than its factorization.

5001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5001408 is about 2236.3827937095. The cubic root of 5001408 is about 171.0136441355.

The spelling of 5001408 in words is "five million, one thousand, four hundred eight".