5413840 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 2004480.

The previous prime is 5413817. The next prime is 5413847. The reversal of 5413840 is 483145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×5413840³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91731 + ... + 91789.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 2^5413840 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 5413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

5413840 is an abundant number, since it is smaller than the sum of its proper divisors (8156720).

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

5413840 is a wasteful number, since it uses less digits than its factorization.

5413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5413840 is about 2326.7659959695. The cubic root of 5413840 is about 175.5908194099.

Adding to 5413840 its reverse (483145), we get a palindrome (5896985).

The spelling of 5413840 in words is "five million, four hundred thirteen thousand, eight hundred forty".