5005440 has 192 divisors, whose sum is σ = 19094400. Its totient is φ = 1198080.

The previous prime is 5005439. The next prime is 5005489. The reversal of 5005440 is 445005.

5005440 = T₂₄₅ + T₂₄₆ + ... + T₃₅₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63321 + ... + 63399.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 2^5005440 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 5005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5005440 is an abundant number, since it is smaller than the sum of its proper divisors (14088960).

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

5005440 is a wasteful number, since it uses less digits than its factorization.

5005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5005440 is about 2237.2840677929. The cubic root of 5005440 is about 171.0595873181.

It can be divided in two parts, 5005 and 440, that added together give a palindrome (5445).

The spelling of 5005440 in words is "five million, five thousand, four hundred forty".