4005440 has 28 divisors (see below), whose sum is σ = 9538716. Its totient is φ = 1602048.

The previous prime is 4005433. The next prime is 4005457. The reversal of 4005440 is 445004.

It can be written as a sum of positive squares in 2 ways, for example, as 2768896 + 1236544 = 1664^2 + 1112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5939 + ... + 6578.

Almost surely, 2^4005440 is an apocalyptic number.

4005440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005440 is an abundant number, since it is smaller than the sum of its proper divisors (5533276).

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

4005440 is a wasteful number, since it uses less digits than its factorization.

4005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4005440 is about 2001.3595379142. The cubic root of 4005440 is about 158.8120347796.

The spelling of 4005440 in words is "four million, five thousand, four hundred forty".