4395040 has 48 divisors (see below), whose sum is σ = 11187288. Its totient is φ = 1622016.

The previous prime is 4395031. The next prime is 4395049. The reversal of 4395040 is 405934.

It is an interprime number because it is at equal distance from previous prime (4395031) and next prime (4395049).

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 3254416 = 1068^2 + 1804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4394996 and 4395014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 3136.

Almost surely, 2^4395040 is an apocalyptic number.

4395040 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 4395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593644).

4395040 is an abundant number, since it is smaller than the sum of its proper divisors (6792248).

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

4395040 is a wasteful number, since it uses less digits than its factorization.

4395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 4395040 is about 2096.4350693499. The cubic root of 4395040 is about 163.8026577341.

The spelling of 4395040 in words is "four million, three hundred ninety-five thousand, forty".