4862220800 has 120 divisors (see below), whose sum is σ = 12169039212. Its totient is φ = 1925120000.

The previous prime is 4862220799. The next prime is 4862220817. The reversal of 4862220800 is 80222684.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3027640576 + 1834580224 = 55024^2 + 42832^2 .

It is a super-2 number, since 2×4862220800² = 47282382215905280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 1290920 + ... + 1294680.

Almost surely, 2^4862220800 is an apocalyptic number.

4862220800 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 4862220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084519606).

4862220800 is an abundant number, since it is smaller than the sum of its proper divisors (7306818412).

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

4862220800 is a wasteful number, since it uses less digits than its factorization.

4862220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4862220800 is about 69729.6264151759. The cubic root of 4862220800 is about 1694.1228192168.

The spelling of 4862220800 in words is "four billion, eight hundred sixty-two million, two hundred twenty thousand, eight hundred".