4978848000 has 576 divisors, whose sum is σ = 19591004160. Its totient is φ = 1096704000.

The previous prime is 4978847957. The next prime is 4978848001. The reversal of 4978848000 is 8488794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4978848001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20831881 + ... + 20832119.

It is an arithmetic number, because the mean of its divisors is an integer number (34012160).

Almost surely, 2^4978848000 is an apocalyptic number.

4978848000 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 4978848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795502080).

4978848000 is an abundant number, since it is smaller than the sum of its proper divisors (14612156160).

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

4978848000 is a wasteful number, since it uses less digits than its factorization.

4978848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 4978848000 is about 70560.9523745251. The cubic root of 4978848000 is about 1707.5612443350.

The spelling of 4978848000 in words is "four billion, nine hundred seventy-eight million, eight hundred forty-eight thousand".