6406459800 has 192 divisors, whose sum is σ = 21792667680. Its totient is φ = 1547120640.

The previous prime is 6406459781. The next prime is 6406459819. The reversal of 6406459800 is 89546046.

It is an interprime number because it is at equal distance from previous prime (6406459781) and next prime (6406459819).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405652 + ... + 421148.

Almost surely, 2^6406459800 is an apocalyptic number.

6406459800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406459800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896333840).

6406459800 is an abundant number, since it is smaller than the sum of its proper divisors (15386207880).

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

6406459800 is a wasteful number, since it uses less digits than its factorization.

6406459800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582 (or 15573 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6406459800 is about 80040.3635673902. The cubic root of 6406459800 is about 1857.2599845542.

The spelling of 6406459800 in words is "six billion, four hundred six million, four hundred fifty-nine thousand, eight hundred".