4128480 has 144 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1059840.

The previous prime is 4128451. The next prime is 4128493. The reversal of 4128480 is 848214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4128480² = 34088694220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67650 + ... + 67710.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^4128480 is an apocalyptic number.

4128480 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 4128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4128480 is an abundant number, since it is smaller than the sum of its proper divisors (10495584).

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

4128480 is a wasteful number, since it uses less digits than its factorization.

4128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4128480 is about 2031.8661373230. The cubic root of 4128480 is about 160.4218036997.

The spelling of 4128480 in words is "four million, one hundred twenty-eight thousand, four hundred eighty".