440002164 has 72 divisors (see below), whose sum is σ = 1198991808. Its totient is φ = 125220480.

The previous prime is 440002163. The next prime is 440002169. The reversal of 440002164 is 461200044.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 440002164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440002163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163897 + ... + 166559.

It is an arithmetic number, because the mean of its divisors is an integer number (16652664).

Almost surely, 2^440002164 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 440002164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599495904).

440002164 is an abundant number, since it is smaller than the sum of its proper divisors (758989644).

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

440002164 is a wasteful number, since it uses less digits than its factorization.

440002164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 440002164 is about 20976.2285456657. The cubic root of 440002164 is about 760.5917390577.

It can be divided in two parts, 44000 and 2164, that added together give a palindrome (46164).

The spelling of 440002164 in words is "four hundred forty million, two thousand, one hundred sixty-four".