4214760 has 128 divisors (see below), whose sum is σ = 14376960. Its totient is φ = 979200.

The previous prime is 4214753. The next prime is 4214761. The reversal of 4214760 is 674124.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4214760.

It is not an unprimeable number, because it can be changed into a prime (4214761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40869 + ... + 40971.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 2^4214760 is an apocalyptic number.

4214760 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 4214760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480).

4214760 is an abundant number, since it is smaller than the sum of its proper divisors (10162200).

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

4214760 is a wasteful number, since it uses less digits than its factorization.

4214760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4214760 is about 2052.9880662098. The cubic root of 4214760 is about 161.5316452732.

Adding to 4214760 its reverse (674124), we get a palindrome (4888884).

The spelling of 4214760 in words is "four million, two hundred fourteen thousand, seven hundred sixty".