4244400 has 150 divisors (see below), whose sum is σ = 15349092. Its totient is φ = 1123200.

The previous prime is 4244389. The next prime is 4244417. The reversal of 4244400 is 44424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32335 + ... + 32465.

Almost surely, 2^4244400 is an apocalyptic number.

4244400 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 4244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674546).

4244400 is an abundant number, since it is smaller than the sum of its proper divisors (11104692).

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

4244400 is a wasteful number, since it uses less digits than its factorization.

4244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

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

The square root of 4244400 is about 2060.1941656067. The cubic root of 4244400 is about 161.9094143772.

Adding to 4244400 its reverse (44424), we get a palindrome (4288824).

The spelling of 4244400 in words is "four million, two hundred forty-four thousand, four hundred".