8460434772 has 144 divisors (see below), whose sum is σ = 22665132672. Its totient is φ = 2758769280.

The previous prime is 8460434699. The next prime is 8460434777. The reversal of 8460434772 is 2774340648.

8460434772 is a `hidden beast` number, since 8 + 4 + 604 + 34 + 7 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8460434777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17372313 + ... + 17372799.

Almost surely, 2^8460434772 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 8460434772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332566336).

8460434772 is an abundant number, since it is smaller than the sum of its proper divisors (14204697900).

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

8460434772 is a wasteful number, since it uses less digits than its factorization.

8460434772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 8460434772 is about 91980.6217200123. The cubic root of 8460434772 is about 2037.6561228907.

The spelling of 8460434772 in words is "eight billion, four hundred sixty million, four hundred thirty-four thousand, seven hundred seventy-two".