4424400 has 90 divisors (see below), whose sum is σ = 15366390. Its totient is φ = 1178880.

The previous prime is 4424389. The next prime is 4424411. The reversal of 4424400 is 44244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4424389) and next prime (4424411).

It can be written as a sum of positive squares in 3 ways, for example, as 1354896 + 3069504 = 1164^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2986 + ... + 4214.

Almost surely, 2^4424400 is an apocalyptic number.

4424400 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 4424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683195).

4424400 is an abundant number, since it is smaller than the sum of its proper divisors (10941990).

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

4424400 is a wasteful number, since it uses less digits than its factorization.

4424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4424400 is about 2103.4257771550. The cubic root of 4424400 is about 164.1665965225.

Adding to 4424400 its reverse (44244), we get a palindrome (4468644).

Multiplying 4424400 by its reverse (44244), we get a square (195753153600 = 442440²).

4424400 divided by its reverse (44244) gives a square (100 = 10²).

The spelling of 4424400 in words is "four million, four hundred twenty-four thousand, four hundred".