4893258240 has 720 divisors, whose sum is σ = 19967331384. Its totient is φ = 1097072640.

The previous prime is 4893258203. The next prime is 4893258259. The reversal of 4893258240 is 428523984.

4893258240 is a `hidden beast` number, since 4 + 89 + 325 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3721976064 + 1171282176 = 61008^2 + 34224^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 157847025 + ... + 157847055.

Almost surely, 2^4893258240 is an apocalyptic number.

4893258240 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 4893258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983665692).

4893258240 is an abundant number, since it is smaller than the sum of its proper divisors (15074073144).

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

4893258240 is a wasteful number, since it uses less digits than its factorization.

4893258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4893258240 is about 69951.8279961289. The cubic root of 4893258240 is about 1697.7199236723.

The spelling of 4893258240 in words is "four billion, eight hundred ninety-three million, two hundred fifty-eight thousand, two hundred forty".