40483872 has 144 divisors (see below), whose sum is σ = 135390528. Its totient is φ = 11312640.

The previous prime is 40483867. The next prime is 40483901. The reversal of 40483872 is 27838404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40483872² = 3277887784224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 40693 + ... + 41675.

It is an arithmetic number, because the mean of its divisors is an integer number (940212).

Almost surely, 2^40483872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67695264).

40483872 is an abundant number, since it is smaller than the sum of its proper divisors (94906656).

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

40483872 is a wasteful number, since it uses less digits than its factorization.

40483872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40483872 is about 6362.6937691516. The cubic root of 40483872 is about 343.3686816487.

The spelling of 40483872 in words is "forty million, four hundred eighty-three thousand, eight hundred seventy-two".