4005400 has 48 divisors (see below), whose sum is σ = 10646640. Its totient is φ = 1372800.

The previous prime is 4005377. The next prime is 4005433. The reversal of 4005400 is 45004.

4005400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31 + ... + 2830.

It is an arithmetic number, because the mean of its divisors is an integer number (221805).

Almost surely, 2^4005400 is an apocalyptic number.

4005400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323320).

4005400 is an abundant number, since it is smaller than the sum of its proper divisors (6641240).

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

4005400 is a wasteful number, since it uses less digits than its factorization.

4005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4005400 is about 2001.3495446823. The cubic root of 4005400 is about 158.8115061234.

The spelling of 4005400 in words is "four million, five thousand, four hundred".