4413864 has 128 divisors (see below), whose sum is σ = 14192640. Its totient is φ = 1112832.

The previous prime is 4413853. The next prime is 4413869. The reversal of 4413864 is 4683144.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4413869) 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, 93889 + ... + 93935.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 2^4413864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096320).

4413864 is an abundant number, since it is smaller than the sum of its proper divisors (9778776).

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

4413864 is a wasteful number, since it uses less digits than its factorization.

4413864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4413864 is about 2100.9197985644. The cubic root of 4413864 is about 164.0361807939.

It can be divided in two parts, 44 and 13864, that multiplied together give a palindrome (610016).

The spelling of 4413864 in words is "four million, four hundred thirteen thousand, eight hundred sixty-four".