4480960 has 112 divisors (see below), whose sum is σ = 12435840. Its totient is φ = 1520640.

The previous prime is 4480951. The next prime is 4480961. The reversal of 4480960 is 690844.

4480960 = T₃₃₅ + T₃₃₆ + ... + T₄₀₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66847 + ... + 66913.

Almost surely, 2^4480960 is an apocalyptic number.

4480960 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 4480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920).

4480960 is an abundant number, since it is smaller than the sum of its proper divisors (7954880).

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

4480960 is a wasteful number, since it uses less digits than its factorization.

4480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4480960 is about 2116.8278153879. The cubic root of 4480960 is about 164.8631862522.

The spelling of 4480960 in words is "four million, four hundred eighty thousand, nine hundred sixty".