4473477120 has 384 divisors, whose sum is σ = 16643128320. Its totient is φ = 1004666880.

The previous prime is 4473477091. The next prime is 4473477131. The reversal of 4473477120 is 217743744.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15267694 + ... + 15267986.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 2^4473477120 is an apocalyptic number.

4473477120 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 4473477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

4473477120 is an abundant number, since it is smaller than the sum of its proper divisors (12169651200).

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

4473477120 is a wasteful number, since it uses less digits than its factorization.

4473477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 4473477120 is about 66884.0572931996. The cubic root of 4473477120 is about 1647.7136524512.

The spelling of 4473477120 in words is "four billion, four hundred seventy-three million, four hundred seventy-seven thousand, one hundred twenty".