4406400 has 240 divisors, whose sum is σ = 17217090. Its totient is φ = 1105920.

The previous prime is 4406359. The next prime is 4406401. The reversal of 4406400 is 46044.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 627264 = 1944^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259192 + ... + 259208.

Almost surely, 2^4406400 is an apocalyptic number.

4406400 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 4406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608545).

4406400 is an abundant number, since it is smaller than the sum of its proper divisors (12810690).

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

4406400 is a wasteful number, since it uses less digits than its factorization.

4406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4406400 is about 2099.1426821443. The cubic root of 4406400 is about 163.9436649657.

The spelling of 4406400 in words is "four million, four hundred six thousand, four hundred".