4005920 has 24 divisors (see below), whose sum is σ = 9464364. Its totient is φ = 1602304.

The previous prime is 4005917. The next prime is 4005943. The reversal of 4005920 is 295004.

It can be written as a sum of positive squares in 2 ways, for example, as 3984016 + 21904 = 1996^2 + 148^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4005892 and 4005901.

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 3 ways as a sum of consecutive naturals, for example, 12359 + ... + 12678.

Almost surely, 2^4005920 is an apocalyptic number.

4005920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005920 is an abundant number, since it is smaller than the sum of its proper divisors (5458444).

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

4005920 is a wasteful number, since it uses less digits than its factorization.

4005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25052 (or 25044 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4005920 is about 2001.4794528048. The cubic root of 4005920 is about 158.8183783800.

The spelling of 4005920 in words is "four million, five thousand, nine hundred twenty".