40984400 has 30 divisors (see below), whose sum is σ = 98465982. Its totient is φ = 16393600.

The previous prime is 40984397. The next prime is 40984403. The reversal of 40984400 is 448904.

It is a happy number.

40984400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40984397) and next prime (40984403).

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 40857664 = 356^2 + 6392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40984403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50831 + ... + 51630.

Almost surely, 2^40984400 is an apocalyptic number.

40984400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40984400 is an abundant number, since it is smaller than the sum of its proper divisors (57481582).

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

40984400 is a wasteful number, since it uses less digits than its factorization.

40984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102479 (or 102468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 40984400 is about 6401.9059661948. The cubic root of 40984400 is about 344.7779850035. Note that the first 3 decimals are identical.

The spelling of 40984400 in words is "forty million, nine hundred eighty-four thousand, four hundred".