4398400 has 42 divisors (see below), whose sum is σ = 10826750. Its totient is φ = 1758720.

The previous prime is 4398397. The next prime is 4398421. The reversal of 4398400 is 48934.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 4393216 = 72^2 + 2096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226 + ... + 2974.

Almost surely, 2^4398400 is an apocalyptic number.

4398400 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 4398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413375).

4398400 is an abundant number, since it is smaller than the sum of its proper divisors (6428350).

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

4398400 is a wasteful number, since it uses less digits than its factorization.

4398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4398400 is about 2097.2362766269. The cubic root of 4398400 is about 163.8443893783.

The spelling of 4398400 in words is "four million, three hundred ninety-eight thousand, four hundred".