4005676420 has 24 divisors (see below), whose sum is σ = 8413227648. Its totient is φ = 1602021600.

The previous prime is 4005676399. The next prime is 4005676421. The reversal of 4005676420 is 246765004.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4005676421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170805 + ... + 192835.

It is an arithmetic number, because the mean of its divisors is an integer number (350551152).

Almost surely, 2^4005676420 is an apocalyptic number.

It is an amenable number.

4005676420 is an abundant number, since it is smaller than the sum of its proper divisors (4407551228).

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

4005676420 is a wasteful number, since it uses less digits than its factorization.

4005676420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131 (or 31129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4005676420 is about 63290.4133340903. The cubic root of 4005676420 is about 1588.1515933044.

The spelling of 4005676420 in words is "four billion, five million, six hundred seventy-six thousand, four hundred twenty".