4003240 has 32 divisors (see below), whose sum is σ = 9230760. Its totient is φ = 1561600.

The previous prime is 4003231. The next prime is 4003253. The reversal of 4003240 is 423004.

4003240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1240996 + 2762244 = 1114^2 + 1662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4003240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420 + ... + 2860.

Almost surely, 2^4003240 is an apocalyptic number.

4003240 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 4003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615380).

4003240 is an abundant number, since it is smaller than the sum of its proper divisors (5227520).

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

4003240 is a wasteful number, since it uses less digits than its factorization.

4003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4003240 is about 2000.8098360414. The cubic root of 4003240 is about 158.7829534583.

Adding to 4003240 its reverse (423004), we get a palindrome (4426244).

The spelling of 4003240 in words is "four million, three thousand, two hundred forty".