4284598164 has 192 divisors, whose sum is σ = 13002522624. Its totient is φ = 1065600000.

The previous prime is 4284598159. The next prime is 4284598177. The reversal of 4284598164 is 4618954824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2892304 + ... + 2893784.

It is an arithmetic number, because the mean of its divisors is an integer number (67721472).

Almost surely, 2^4284598164 is an apocalyptic number.

4284598164 is a gapful number since it is divisible by the number (44) 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 4284598164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501261312).

4284598164 is an abundant number, since it is smaller than the sum of its proper divisors (8717924460).

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

4284598164 is a wasteful number, since it uses less digits than its factorization.

4284598164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 4284598164 is about 65456.8419953178. The cubic root of 4284598164 is about 1624.1895021206.

The spelling of 4284598164 in words is "four billion, two hundred eighty-four million, five hundred ninety-eight thousand, one hundred sixty-four".