6400450240 has 112 divisors (see below), whose sum is σ = 15644835360. Its totient is φ = 2492743680.

The previous prime is 6400450237. The next prime is 6400450253. The reversal of 6400450240 is 420540046.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342856 + ... + 6343864.

It is an arithmetic number, because the mean of its divisors is an integer number (139686030).

Almost surely, 2^6400450240 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 6400450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822417680).

6400450240 is an abundant number, since it is smaller than the sum of its proper divisors (9244385120).

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

6400450240 is a wasteful number, since it uses less digits than its factorization.

6400450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 6400450240 is about 80002.8139505105. The cubic root of 6400450240 is about 1856.6790705274.

Adding to 6400450240 its reverse (420540046), we get a palindrome (6820990286).

It can be divided in two parts, 64004 and 50240, that added together give a square (114244 = 338²).

The spelling of 6400450240 in words is "six billion, four hundred million, four hundred fifty thousand, two hundred forty".