6413440 has 64 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 2329600.

The previous prime is 6413419. The next prime is 6413467. The reversal of 6413440 is 443146.

6413440 = T₂₈₅ + T₂₈₆ + ... + T₃₉₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×6413440³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6585 + ... + 7495.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^6413440 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 6413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

6413440 is an abundant number, since it is smaller than the sum of its proper divisors (10330880).

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

6413440 is a wasteful number, since it uses less digits than its factorization.

6413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6413440 is about 2532.4770482672. The cubic root of 6413440 is about 185.7934269627.

Adding to 6413440 its reverse (443146), we get a palindrome (6856586).

The spelling of 6413440 in words is "six million, four hundred thirteen thousand, four hundred forty".