8954454960 has 240 divisors, whose sum is σ = 33902934240. Its totient is φ = 2170713600.

The previous prime is 8954454959. The next prime is 8954454973. The reversal of 8954454960 is 694544598.

8954454960 is a `hidden beast` number, since 8 + 9 + 544 + 5 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8954454897 and 8954454906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244230 + ... + 278490.

It is an arithmetic number, because the mean of its divisors is an integer number (141262226).

Almost surely, 2^8954454960 is an apocalyptic number.

8954454960 is a gapful number since it is divisible by the number (80) 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 8954454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951467120).

8954454960 is an abundant number, since it is smaller than the sum of its proper divisors (24948479280).

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

8954454960 is a wasteful number, since it uses less digits than its factorization.

8954454960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34305 (or 34282 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8954454960 is about 94627.9819081016. The cubic root of 8954454960 is about 2076.5690911999.

The spelling of 8954454960 in words is "eight billion, nine hundred fifty-four million, four hundred fifty-four thousand, nine hundred sixty".