4182880 has 48 divisors (see below), whose sum is σ = 10647504. Its totient is φ = 1543680.

The previous prime is 4182863. The next prime is 4182881. The reversal of 4182880 is 882814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 3085.

It is an arithmetic number, because the mean of its divisors is an integer number (221823).

Almost surely, 2^4182880 is an apocalyptic number.

4182880 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 4182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323752).

4182880 is an abundant number, since it is smaller than the sum of its proper divisors (6464624).

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

4182880 is a wasteful number, since it uses less digits than its factorization.

4182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4182880 is about 2045.2090357712. The cubic root of 4182880 is about 161.1233446473.

The spelling of 4182880 in words is "four million, one hundred eighty-two thousand, eight hundred eighty".