4902008160 has 192 divisors, whose sum is σ = 17980849152. Its totient is φ = 1099278336.

The previous prime is 4902008143. The next prime is 4902008171. The reversal of 4902008160 is 618002094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164317 + ... + 191843.

It is an arithmetic number, because the mean of its divisors is an integer number (93650256).

Almost surely, 2^4902008160 is an apocalyptic number.

4902008160 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 4902008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990424576).

4902008160 is an abundant number, since it is smaller than the sum of its proper divisors (13078840992).

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

4902008160 is a wasteful number, since it uses less digits than its factorization.

4902008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27605 (or 27597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4902008160 is about 70014.3425306558. The cubic root of 4902008160 is about 1698.7312517254.

The spelling of 4902008160 in words is "four billion, nine hundred two million, eight thousand, one hundred sixty".