4418960 has 80 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 1396224.

The previous prime is 4418951. The next prime is 4418977. The reversal of 4418960 is 698144.

4418960 is nontrivially palindromic in base 15.

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, 6977 + ... + 7583.

Almost surely, 2^4418960 is an apocalyptic number.

4418960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4418960 is the 1214-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

4418960 is an abundant number, since it is smaller than the sum of its proper divisors (8246896).

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

4418960 is a wasteful number, since it uses less digits than its factorization.

4418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 4418960 is about 2102.1322508349. The cubic root of 4418960 is about 164.0992855081.

The spelling of 4418960 in words is "four million, four hundred eighteen thousand, nine hundred sixty".