6405430400 has 48 divisors (see below), whose sum is σ = 15823422690. Its totient is φ = 2562170880.

The previous prime is 6405430373. The next prime is 6405430411. The reversal of 6405430400 is 40345046.

It can be written as a sum of positive squares in 3 ways, for example, as 3047923264 + 3357507136 = 55208^2 + 57944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6405430400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 997649 + ... + 1004048.

Almost surely, 2^6405430400 is an apocalyptic number.

It is an amenable number.

6405430400 is an abundant number, since it is smaller than the sum of its proper divisors (9417992290).

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

6405430400 is a wasteful number, since it uses less digits than its factorization.

6405430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001721 (or 2001704 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 6405430400 is about 80033.9328035303. The cubic root of 6405430400 is about 1857.1605034108.

Adding to 6405430400 its reverse (40345046), we get a palindrome (6445775446).

The spelling of 6405430400 in words is "six billion, four hundred five million, four hundred thirty thousand, four hundred".