4979923200 has 864 divisors, whose sum is σ = 21898598400. Its totient is φ = 1082695680.

The previous prime is 4979923189. The next prime is 4979923217. The reversal of 4979923200 is 23299794.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27820711 + ... + 27820889.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^4979923200 is an apocalyptic number.

4979923200 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 4979923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949299200).

4979923200 is an abundant number, since it is smaller than the sum of its proper divisors (16918675200).

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

4979923200 is a wasteful number, since it uses less digits than its factorization.

4979923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4979923200 is about 70568.5709080183. The cubic root of 4979923200 is about 1707.6841534701.

The spelling of 4979923200 in words is "four billion, nine hundred seventy-nine million, nine hundred twenty-three thousand, two hundred".