4214960 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1536768.

The previous prime is 4214953. The next prime is 4214971. The reversal of 4214960 is 694124.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71411 + ... + 71469.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^4214960 is an apocalyptic number.

4214960 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 4214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

4214960 is an abundant number, since it is smaller than the sum of its proper divisors (6498640).

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

4214960 is a wasteful number, since it uses less digits than its factorization.

4214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4214960 is about 2053.0367751212. The cubic root of 4214960 is about 161.5342002481.

The spelling of 4214960 in words is "four million, two hundred fourteen thousand, nine hundred sixty".