6430459104 has 240 divisors, whose sum is σ = 20450984400. Its totient is φ = 1975228416.

The previous prime is 6430459103. The next prime is 6430459127. The reversal of 6430459104 is 4019540346.

6430459104 is a `hidden beast` number, since 64 + 3 + 0 + 4 + 591 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430459103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1820412 + ... + 1823940.

It is an arithmetic number, because the mean of its divisors is an integer number (85212435).

Almost surely, 2^6430459104 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 6430459104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225492200).

6430459104 is an abundant number, since it is smaller than the sum of its proper divisors (14020525296).

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

6430459104 is a wasteful number, since it uses less digits than its factorization.

6430459104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6430459104 is about 80190.1434342152. The cubic root of 6430459104 is about 1859.5762614332.

The spelling of 6430459104 in words is "six billion, four hundred thirty million, four hundred fifty-nine thousand, one hundred four".