4799952000 has 512 divisors, whose sum is σ = 18177868800. Its totient is φ = 1244160000.

The previous prime is 4799951993. The next prime is 4799952011. The reversal of 4799952000 is 2599974.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17711865 + ... + 17712135.

It is an arithmetic number, because the mean of its divisors is an integer number (35503650).

Almost surely, 2^4799952000 is an apocalyptic number.

4799952000 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 4799952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088934400).

4799952000 is an abundant number, since it is smaller than the sum of its proper divisors (13377916800).

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

4799952000 is a wasteful number, since it uses less digits than its factorization.

4799952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4799952000 is about 69281.6858917275. The cubic root of 4799952000 is about 1686.8597077003.

It can be divided in two parts, 47999 and 52000, that added together give a palindrome (99999).

The spelling of 4799952000 in words is "four billion, seven hundred ninety-nine million, nine hundred fifty-two thousand".