8430879456 has 72 divisors (see below), whose sum is σ = 24078403440. Its totient is φ = 2798209536.

The previous prime is 8430879403. The next prime is 8430879461. The reversal of 8430879456 is 6549780348.

8430879456 is a `hidden beast` number, since 84 + 30 + 87 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4285 + ... + 129923.

It is an arithmetic number, because the mean of its divisors is an integer number (334422270).

Almost surely, 2^8430879456 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 8430879456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039201720).

8430879456 is an abundant number, since it is smaller than the sum of its proper divisors (15647523984).

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

8430879456 is a wasteful number, since it uses less digits than its factorization.

8430879456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125888 (or 125877 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 8430879456 is about 91819.8206053573. The cubic root of 8430879456 is about 2035.2806013750.

The spelling of 8430879456 in words is "eight billion, four hundred thirty million, eight hundred seventy-nine thousand, four hundred fifty-six".