4394400 has 72 divisors (see below), whose sum is σ = 14311584. Its totient is φ = 1171200.

The previous prime is 4394371. The next prime is 4394413. The reversal of 4394400 is 44934.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 3¹¹ + 9⁴ + 4⁷ + 4¹¹ + 0 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (198772).

Almost surely, 2^4394400 is an apocalyptic number.

4394400 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 4394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155792).

4394400 is an abundant number, since it is smaller than the sum of its proper divisors (9917184).

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

4394400 is a wasteful number, since it uses less digits than its factorization.

4394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4394400 is about 2096.2824237206. The cubic root of 4394400 is about 163.7947064383.

The spelling of 4394400 in words is "four million, three hundred ninety-four thousand, four hundred".