4477920 has 96 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 1128960.

The previous prime is 4477903. The next prime is 4477931. The reversal of 4477920 is 297744.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8875 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4477920 is an apocalyptic number.

4477920 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 4477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

4477920 is an abundant number, since it is smaller than the sum of its proper divisors (10400160).

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

4477920 is a wasteful number, since it uses less digits than its factorization.

4477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4477920 is about 2116.1096379914. The cubic root of 4477920 is about 164.8258953244.

The spelling of 4477920 in words is "four million, four hundred seventy-seven thousand, nine hundred twenty".