4838678208 has 504 divisors, whose sum is σ = 17866937088. Its totient is φ = 1271282688.

The previous prime is 4838678191. The next prime is 4838678209. The reversal of 4838678208 is 8028768384.

4838678208 is a `hidden beast` number, since 483 + 86 + 7 + 82 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4838678209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18397885 + ... + 18398147.

It is an arithmetic number, because the mean of its divisors is an integer number (35450272).

Almost surely, 2^4838678208 is an apocalyptic number.

4838678208 is a gapful number since it is divisible by the number (48) 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 4838678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8933468544).

4838678208 is an abundant number, since it is smaller than the sum of its proper divisors (13028258880).

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

4838678208 is a wasteful number, since it uses less digits than its factorization.

4838678208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 4838678208 is about 69560.6081629538. The cubic root of 4838678208 is about 1691.3841126484.

The spelling of 4838678208 in words is "four billion, eight hundred thirty-eight million, six hundred seventy-eight thousand, two hundred eight".