4412400 has 60 divisors (see below), whose sum is σ = 14138232. Its totient is φ = 1176320.

The previous prime is 4412399. The next prime is 4412411. The reversal of 4412400 is 42144.

It is a tau number, because it is divible by the number of its divisors (60).

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 4412400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639 + ... + 3038.

Almost surely, 2^4412400 is an apocalyptic number.

4412400 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 4412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069116).

4412400 is an abundant number, since it is smaller than the sum of its proper divisors (9725832).

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

4412400 is a wasteful number, since it uses less digits than its factorization.

4412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4412400 is about 2100.5713508472. The cubic root of 4412400 is about 164.0180428295.

Adding to 4412400 its reverse (42144), we get a palindrome (4454544).

The spelling of 4412400 in words is "four million, four hundred twelve thousand, four hundred".