4214880 has 72 divisors (see below), whose sum is σ = 14388192. Its totient is φ = 1123584.

The previous prime is 4214879. The next prime is 4214891. The reversal of 4214880 is 884124.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 2^4214880 is an apocalyptic number.

4214880 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 4214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194096).

4214880 is an abundant number, since it is smaller than the sum of its proper divisors (10173312).

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

4214880 is a wasteful number, since it uses less digits than its factorization.

4214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2937 counting only the distinct ones).

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

The square root of 4214880 is about 2053.0172916953. The cubic root of 4214880 is about 161.5331782678.

The spelling of 4214880 in words is "four million, two hundred fourteen thousand, eight hundred eighty".