4395840 has 112 divisors (see below), whose sum is σ = 14752320. Its totient is φ = 1105920.

The previous prime is 4395827. The next prime is 4395857. The reversal of 4395840 is 485934.

4395840 = T₁₁₃ + T₁₁₄ + ... + T₃₀₂.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18120 + ... + 18360.

Almost surely, 2^4395840 is an apocalyptic number.

4395840 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 4395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376160).

4395840 is an abundant number, since it is smaller than the sum of its proper divisors (10356480).

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

4395840 is a wasteful number, since it uses less digits than its factorization.

4395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4395840 is about 2096.6258607582. The cubic root of 4395840 is about 163.8125957685.

The spelling of 4395840 in words is "four million, three hundred ninety-five thousand, eight hundred forty".