4929240800 has 144 divisors (see below), whose sum is σ = 13246308432. Its totient is φ = 1776230400.

The previous prime is 4929240773. The next prime is 4929240803. The reversal of 4929240800 is 80429294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929240803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991922 + ... + 996878.

It is an arithmetic number, because the mean of its divisors is an integer number (91988253).

Almost surely, 2^4929240800 is an apocalyptic number.

4929240800 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 4929240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623154216).

4929240800 is an abundant number, since it is smaller than the sum of its proper divisors (8317067632).

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

4929240800 is a wasteful number, since it uses less digits than its factorization.

4929240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4929240800 is about 70208.5521856134. The cubic root of 4929240800 is about 1701.8711576897.

The spelling of 4929240800 in words is "four billion, nine hundred twenty-nine million, two hundred forty thousand, eight hundred".