4000900 has 18 divisors (see below), whose sum is σ = 8682170. Its totient is φ = 1600320.

The previous prime is 4000897. The next prime is 4000901. The reversal of 4000900 is 90004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 2617924 = 1176^2 + 1618^2 .

4000900 is a modest number, since divided by 900 gives 400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4000901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19905 + ... + 20104.

Almost surely, 2^4000900 is an apocalyptic number.

It is an amenable number.

4000900 is an abundant number, since it is smaller than the sum of its proper divisors (4681270).

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

4000900 is a wasteful number, since it uses less digits than its factorization.

4000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40023 (or 40016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4000900 is about 2000.2249873452. The cubic root of 4000900 is about 158.7520098119.

Adding to 4000900 its reverse (90004), we get a palindrome (4090904).

It can be divided in two parts, 4000 and 900, that added together give a square (4900 = 70²).

The spelling of 4000900 in words is "four million, nine hundred", and thus it is an aban number.