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4400 = 245211

4400 has 30 divisors (see below), whose sum is σ = 11532. Its totient is φ = 1600.

The previous prime is 4397. The next prime is 4409. The reversal of 4400 is 44.

Adding to 4400 its reverse (44), we get a palindrome (4444).

Subtracting from 4400 its reverse (44), we obtain a square (4356 = 662).

Multipling 4400 by its reverse (44), we get a square (193600 = 4402).

4400 divided by its reverse (44) gives a square (100 = 102).

It can be divided in two parts, 4 and 400, that multiplied together give a square (1600 = 402).

4400 = T15 + T16 + ... + T30.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395 + ... + 405.

4400 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 4400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766).

4400 is an abundant number, since it is smaller than the sum of its proper divisors (7132).

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

4400 is a wasteful number, since it uses less digits than its factorization.

4400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4400 is about 66.3324958071. The cubic root of 4400 is about 16.3864254120.

The spelling of 4400 in words is "four thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400