4185280 has 112 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1433600.

The previous prime is 4185277. The next prime is 4185343. The reversal of 4185280 is 825814.

4185280 = 340² + 341² + ... + 372².

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102060 + ... + 102100.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

Almost surely, 2^4185280 is an apocalyptic number.

4185280 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 4185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4185280 is an abundant number, since it is smaller than the sum of its proper divisors (7336160).

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

4185280 is a wasteful number, since it uses less digits than its factorization.

4185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 4185280 is about 2045.7956887236. The cubic root of 4185280 is about 161.1541545273.

It can be divided in two parts, 4185 and 280, that added together give a triangular number (4465 = T₉₄).

The spelling of 4185280 in words is "four million, one hundred eighty-five thousand, two hundred eighty".