40483680 has 192 divisors, whose sum is σ = 140797440. Its totient is φ = 9732096.

The previous prime is 40483669. The next prime is 40483711. The reversal of 40483680 is 8638404.

40483680 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209664 + ... + 209856.

It is an arithmetic number, because the mean of its divisors is an integer number (733320).

Almost surely, 2^40483680 is an apocalyptic number.

40483680 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 40483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398720).

40483680 is an abundant number, since it is smaller than the sum of its proper divisors (100313760).

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

40483680 is a wasteful number, since it uses less digits than its factorization.

40483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40483680 is about 6362.6786811845. The cubic root of 40483680 is about 343.3681388244.

The spelling of 40483680 in words is "forty million, four hundred eighty-three thousand, six hundred eighty".