4923331920 has 240 divisors, whose sum is σ = 18854074512. Its totient is φ = 1140572160.

The previous prime is 4923331909. The next prime is 4923331957. The reversal of 4923331920 is 291333294.

It can be written as a sum of positive squares in 8 ways, for example, as 256256064 + 4667075856 = 16008^2 + 68316^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 143650 + ... + 174590.

Almost surely, 2^4923331920 is an apocalyptic number.

4923331920 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 4923331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427037256).

4923331920 is an abundant number, since it is smaller than the sum of its proper divisors (13930742592).

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

4923331920 is a wasteful number, since it uses less digits than its factorization.

4923331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30990 (or 30981 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4923331920 is about 70166.4586536901. The cubic root of 4923331920 is about 1701.1908518867.

The spelling of 4923331920 in words is "four billion, nine hundred twenty-three million, three hundred thirty-one thousand, nine hundred twenty".