4005420 has 48 divisors (see below), whose sum is σ = 11302368. Its totient is φ = 1059840.

The previous prime is 4005377. The next prime is 4005433. The reversal of 4005420 is 245004.

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

4005420 is a modest number, since divided by 5420 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4005420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14322 + ... + 14598.

It is an arithmetic number, because the mean of its divisors is an integer number (235466).

Almost surely, 2^4005420 is an apocalyptic number.

It is an amenable number.

4005420 is an abundant number, since it is smaller than the sum of its proper divisors (7296948).

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

4005420 is a wasteful number, since it uses less digits than its factorization.

4005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

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

The square root of 4005420 is about 2001.3545413045. The cubic root of 4005420 is about 158.8117704519.

The spelling of 4005420 in words is "four million, five thousand, four hundred twenty".