4908435840 has 1536 divisors, whose sum is σ = 24111820800. Its totient is φ = 928972800.

The previous prime is 4908435751. The next prime is 4908435859. The reversal of 4908435840 is 485348094.

It is a happy number.

4908435840 is a `hidden beast` number, since 490 + 84 + 3 + 5 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158336625 + ... + 158336655.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^4908435840 is an apocalyptic number.

4908435840 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 4908435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055910400).

4908435840 is an abundant number, since it is smaller than the sum of its proper divisors (19203384960).

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

4908435840 is a wasteful number, since it uses less digits than its factorization.

4908435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

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

The square root of 4908435840 is about 70060.2300881178. The cubic root of 4908435840 is about 1699.4734055256.

The spelling of 4908435840 in words is "four billion, nine hundred eight million, four hundred thirty-five thousand, eight hundred forty".