4476948120 has 192 divisors, whose sum is σ = 14772925440. Its totient is φ = 1175731200.

The previous prime is 4476948083. The next prime is 4476948121. The reversal of 4476948120 is 218496744.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476948121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8275050 + ... + 8275590.

It is an arithmetic number, because the mean of its divisors is an integer number (76942320).

Almost surely, 2^4476948120 is an apocalyptic number.

4476948120 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 4476948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386462720).

4476948120 is an abundant number, since it is smaller than the sum of its proper divisors (10295977320).

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

4476948120 is a wasteful number, since it uses less digits than its factorization.

4476948120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4476948120 is about 66910.0001494545. Note that the first 3 decimals coincide. The cubic root of 4476948120 is about 1648.1396995267.

The spelling of 4476948120 in words is "four billion, four hundred seventy-six million, nine hundred forty-eight thousand, one hundred twenty".