4414400 has 84 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 1689600.

The previous prime is 4414379. The next prime is 4414411. The reversal of 4414400 is 44144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49556 + ... + 49644.

Almost surely, 2^4414400 is an apocalyptic number.

4414400 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 4414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

4414400 is an abundant number, since it is smaller than the sum of its proper divisors (6924160).

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

4414400 is a wasteful number, since it uses less digits than its factorization.

4414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4414400 is about 2101.0473578670. The cubic root of 4414400 is about 164.0428204664.

Subtracting from 4414400 its product of nonzero digits (256), we obtain a palindrome (4414144).

Adding to 4414400 its reverse (44144), we get a palindrome (4458544).

Multiplying 4414400 by its reverse (44144), we get a square (194869273600 = 441440²).

4414400 divided by its reverse (44144) gives a square (100 = 10²).

The spelling of 4414400 in words is "four million, four hundred fourteen thousand, four hundred".