4217360 has 80 divisors (see below), whose sum is σ = 11892096. Its totient is φ = 1357824.

The previous prime is 4217359. The next prime is 4217363. The reversal of 4217360 is 637124.

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

It is a super-2 number, since 2×4217360² = 35572250739200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4217363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9299 + ... + 9741.

Almost surely, 2^4217360 is an apocalyptic number.

4217360 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 4217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946048).

4217360 is an abundant number, since it is smaller than the sum of its proper divisors (7674736).

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

4217360 is a wasteful number, since it uses less digits than its factorization.

4217360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 4217360 is about 2053.6211919436. The cubic root of 4217360 is about 161.5648536447.

The spelling of 4217360 in words is "four million, two hundred seventeen thousand, three hundred sixty".