4002405 has 32 divisors (see below), whose sum is σ = 7077888. Its totient is φ = 1915200.

The previous prime is 4002403. The next prime is 4002431. The reversal of 4002405 is 5042004.

4002405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002405 - 2¹ = 4002403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20860 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (221184).

Almost surely, 2^4002405 is an apocalyptic number.

It is an amenable number.

4002405 is a deficient number, since it is larger than the sum of its proper divisors (3075483).

4002405 is a wasteful number, since it uses less digits than its factorization.

4002405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4002405 is about 2000.6011596518. The cubic root of 4002405 is about 158.7719129856.

Adding to 4002405 its reverse (5042004), we get a palindrome (9044409).

The spelling of 4002405 in words is "four million, two thousand, four hundred five".