4418400 has 144 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1006080.

The previous prime is 4418389. The next prime is 4418417. The reversal of 4418400 is 48144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16669 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 2^4418400 is an apocalyptic number.

4418400 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 4418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

4418400 is an abundant number, since it is smaller than the sum of its proper divisors (12080544).

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

4418400 is a wasteful number, since it uses less digits than its factorization.

4418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4418400 is about 2101.9990485250. Note that the first 3 decimals coincide. The cubic root of 4418400 is about 164.0923532976.

The spelling of 4418400 in words is "four million, four hundred eighteen thousand, four hundred".