4417960 has 64 divisors (see below), whose sum is σ = 10789200. Its totient is φ = 1622016.

The previous prime is 4417957. The next prime is 4417967. The reversal of 4417960 is 697144.

It can be written as a sum of positive squares in 8 ways, for example, as 1965604 + 2452356 = 1402^2 + 1566^2 .

It is not an unprimeable number, because it can be changed into a prime (4417967) 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, 49596 + ... + 49684.

Almost surely, 2^4417960 is an apocalyptic number.

4417960 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 4417960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394600).

4417960 is an abundant number, since it is smaller than the sum of its proper divisors (6371240).

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

4417960 is a wasteful number, since it uses less digits than its factorization.

4417960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4417960 is about 2101.8943836454. The cubic root of 4417960 is about 164.0869061499.

The spelling of 4417960 in words is "four million, four hundred seventeen thousand, nine hundred sixty".