4395440 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1466112.

The previous prime is 4395439. The next prime is 4395463. The reversal of 4395440 is 445934.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26237 + ... + 26403.

Almost surely, 2^4395440 is an apocalyptic number.

4395440 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 4395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4395440 is an abundant number, since it is smaller than the sum of its proper divisors (7603792).

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

4395440 is a wasteful number, since it uses less digits than its factorization.

4395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4395440 is about 2096.5304672244. The cubic root of 4395440 is about 163.8076269021.

The spelling of 4395440 in words is "four million, three hundred ninety-five thousand, four hundred forty".