6400404600 has 96 divisors (see below), whose sum is σ = 20885568000. Its totient is φ = 1616941440.

The previous prime is 6400404583. The next prime is 6400404631. The reversal of 6400404600 is 64040046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269320 + ... + 292119.

It is an arithmetic number, because the mean of its divisors is an integer number (217558000).

Almost surely, 2^6400404600 is an apocalyptic number.

6400404600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6400404600 is an abundant number, since it is smaller than the sum of its proper divisors (14485163400).

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

6400404600 is a wasteful number, since it uses less digits than its factorization.

6400404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561477 (or 561468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6400404600 is about 80002.5287100352. The cubic root of 6400404600 is about 1856.6746573465.

Adding to 6400404600 its reverse (64040046), we get a palindrome (6464444646).

The spelling of 6400404600 in words is "six billion, four hundred million, four hundred four thousand, six hundred".