40806900 has 54 divisors (see below), whose sum is σ = 127909782. Its totient is φ = 10881600.

The previous prime is 40806877. The next prime is 40806917. The reversal of 40806900 is 960804.

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 40297104 = 714^2 + 6348^2 .

It is a super-2 number, since 2×40806900² = 3330406175220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21771 + ... + 23570.

Almost surely, 2^40806900 is an apocalyptic number.

It is an amenable number.

40806900 is an abundant number, since it is smaller than the sum of its proper divisors (87102882).

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

40806900 is a wasteful number, since it uses less digits than its factorization.

40806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45361 (or 45351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40806900 is about 6388.0278646856. The cubic root of 40806900 is about 344.2795298721.

The spelling of 40806900 in words is "forty million, eight hundred six thousand, nine hundred".