4920947200 has 120 divisors (see below), whose sum is σ = 13130323668. Its totient is φ = 1816903680.

The previous prime is 4920947197. The next prime is 4920947203. The reversal of 4920947200 is 27490294.

It is an interprime number because it is at equal distance from previous prime (4920947197) and next prime (4920947203).

It can be written as a sum of positive squares in 6 ways, for example, as 281702656 + 4639244544 = 16784^2 + 68112^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4920947200.

It is not an unprimeable number, because it can be changed into a prime (4920947203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 151614 + ... + 181186.

Almost surely, 2^4920947200 is an apocalyptic number.

4920947200 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 4920947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565161834).

4920947200 is an abundant number, since it is smaller than the sum of its proper divisors (8209376468).

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

4920947200 is a wasteful number, since it uses less digits than its factorization.

4920947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614 (or 29593 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 4920947200 is about 70149.4632908905. The cubic root of 4920947200 is about 1700.9161382645.

The spelling of 4920947200 in words is "four billion, nine hundred twenty million, nine hundred forty-seven thousand, two hundred".