4298585760 has 480 divisors, whose sum is σ = 17709753600. Its totient is φ = 981517824.

The previous prime is 4298585717. The next prime is 4298585777. The reversal of 4298585760 is 675858924.

4298585760 is a `hidden beast` number, since 429 + 85 + 85 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 4298585697 and 4298585706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4444797 + ... + 4445763.

It is an arithmetic number, because the mean of its divisors is an integer number (36895320).

Almost surely, 2^4298585760 is an apocalyptic number.

4298585760 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 4298585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854876800).

4298585760 is an abundant number, since it is smaller than the sum of its proper divisors (13411167840).

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

4298585760 is an equidigital number, since it uses as much as digits as its factorization.

4298585760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 4298585760 is about 65563.6008773161. The cubic root of 4298585760 is about 1625.9550374953.

The spelling of 4298585760 in words is "four billion, two hundred ninety-eight million, five hundred eighty-five thousand, seven hundred sixty".