4854432960 has 672 divisors, whose sum is σ = 19770791040. Its totient is φ = 1081737216.

The previous prime is 4854432959. The next prime is 4854432983. The reversal of 4854432960 is 692344584.

4854432960 is a `hidden beast` number, since 48 + 544 + 3 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18457789 + ... + 18458051.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 2^4854432960 is an apocalyptic number.

4854432960 is a gapful number since it is divisible by the number (40) 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 4854432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885395520).

4854432960 is an abundant number, since it is smaller than the sum of its proper divisors (14916358080).

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

4854432960 is a wasteful number, since it uses less digits than its factorization.

4854432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4854432960 is about 69673.7609147088. The cubic root of 4854432960 is about 1693.2178412700.

The spelling of 4854432960 in words is "four billion, eight hundred fifty-four million, four hundred thirty-two thousand, nine hundred sixty".