4895088480 has 288 divisors, whose sum is σ = 17577181440. Its totient is φ = 1238814720.

The previous prime is 4895088479. The next prime is 4895088487. The reversal of 4895088480 is 848805984.

4895088480 is a `hidden beast` number, since 4 + 89 + 5 + 0 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895088487) 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, 2364886 + ... + 2366954.

It is an arithmetic number, because the mean of its divisors is an integer number (61031880).

Almost surely, 2^4895088480 is an apocalyptic number.

4895088480 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 4895088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788590720).

4895088480 is an abundant number, since it is smaller than the sum of its proper divisors (12682092960).

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

4895088480 is a wasteful number, since it uses less digits than its factorization.

4895088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4895088480 is about 69964.9089186858. The cubic root of 4895088480 is about 1697.9315650394.

The spelling of 4895088480 in words is "four billion, eight hundred ninety-five million, eighty-eight thousand, four hundred eighty".