40000900 has 18 divisors (see below), whose sum is σ = 86802170. Its totient is φ = 16000320.

The previous prime is 40000897. The next prime is 40000921. The reversal of 40000900 is 900004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 29964676 = 3168^2 + 5474^2 .

40000900 is a modest number, since divided by 900 gives 400 as remainder.

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 5 ways as a sum of consecutive naturals, for example, 199905 + ... + 200104.

Almost surely, 2^40000900 is an apocalyptic number.

It is an amenable number.

40000900 is an abundant number, since it is smaller than the sum of its proper divisors (46801270).

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

40000900 is a wasteful number, since it uses less digits than its factorization.

40000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400023 (or 400016 counting only the distinct ones).

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

The square root of 40000900 is about 6324.6264711839. The cubic root of 40000900 is about 341.9977542800.

Adding to 40000900 its reverse (900004), we get a palindrome (40900904).

It can be divided in two parts, 40000 and 900, that multiplied together give a square (36000000 = 6000²).

The spelling of 40000900 in words is "forty million, nine hundred", and thus it is an aban number.