4476948100 has 27 divisors (see below), whose sum is σ = 9716429541. Its totient is φ = 1790511600.

The previous prime is 4476948083. The next prime is 4476948121. The reversal of 4476948100 is 18496744.

The square root of 4476948100 is 66910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1611701316 + 2865246784 = 40146^2 + 53528^2 .

It is a super-2 number, since 2×4476948100² = 40086128580187220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 665755 + ... + 672445.

Almost surely, 2^4476948100 is an apocalyptic number.

4476948100 is the 66910-th square number.

It is an amenable number.

4476948100 is an abundant number, since it is smaller than the sum of its proper divisors (5239481441).

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

4476948100 is an frugal number, since it uses more digits than its factorization.

4476948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13396 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 4476948100 is about 1648.1396970725.

It can be divided in two parts, 4476 and 948100, that added together give a square (952576 = 976²).

The spelling of 4476948100 in words is "four billion, four hundred seventy-six million, nine hundred forty-eight thousand, one hundred".