40465984 has 56 divisors (see below), whose sum is σ = 91595448. Its totient is φ = 17571840.

The previous prime is 40465973. The next prime is 40465987. The reversal of 40465984 is 48956404.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 35046400 = 2328^2 + 5920^2 .

It is a super-2 number, since 2×40465984² = 3274991722176512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40465987) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12714 + ... + 15574.

It is an arithmetic number, because the mean of its divisors is an integer number (1635633).

Almost surely, 2^40465984 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 40465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45797724).

40465984 is an abundant number, since it is smaller than the sum of its proper divisors (51129464).

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

40465984 is a wasteful number, since it uses less digits than its factorization.

40465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 40465984 is about 6361.2879199106. The cubic root of 40465984 is about 343.3181011455.

The spelling of 40465984 in words is "forty million, four hundred sixty-five thousand, nine hundred eighty-four".