4401600 has 168 divisors, whose sum is σ = 16629888. Its totient is φ = 998400.

The previous prime is 4401581. The next prime is 4401601. The reversal of 4401600 is 61044.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33535 + ... + 33665.

Almost surely, 2^4401600 is an apocalyptic number.

4401600 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 4401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314944).

4401600 is an abundant number, since it is smaller than the sum of its proper divisors (12228288).

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

4401600 is a wasteful number, since it uses less digits than its factorization.

4401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4401600 is about 2097.9990467109. Note that the first 3 decimals coincide. The cubic root of 4401600 is about 163.8841140469.

Adding to 4401600 its reverse (61044), we get a palindrome (4462644).

The spelling of 4401600 in words is "four million, four hundred one thousand, six hundred".