5309440 has 88 divisors (see below), whose sum is σ = 13706712. Its totient is φ = 1966080.

The previous prime is 5309413. The next prime is 5309441. The reversal of 5309440 is 449035.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 5161984 = 384^2 + 2272^2 .

It is a super-2 number, since 2×5309440² = 56380306227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87010 + ... + 87070.

Almost surely, 2^5309440 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 5309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853356).

5309440 is an abundant number, since it is smaller than the sum of its proper divisors (8397272).

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

5309440 is a wasteful number, since it uses less digits than its factorization.

5309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5309440 is about 2304.2222115065. Note that the first 4 decimals coincide. The cubic root of 5309440 is about 174.4547929845.

The spelling of 5309440 in words is "five million, three hundred nine thousand, four hundred forty".