40609296 has 160 divisors (see below), whose sum is σ = 143601920. Its totient is φ = 10699776.

The previous prime is 40609259. The next prime is 40609297. The reversal of 40609296 is 69290604.

40609296 is a `hidden beast` number, since 40 + 609 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×40609296² = 3298229843231232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40609296.

It is not an unprimeable number, because it can be changed into a prime (40609297) 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 31 ways as a sum of consecutive naturals, for example, 38796 + ... + 39828.

It is an arithmetic number, because the mean of its divisors is an integer number (897512).

Almost surely, 2^40609296 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 40609296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71800960).

40609296 is an abundant number, since it is smaller than the sum of its proper divisors (102992624).

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

40609296 is a wasteful number, since it uses less digits than its factorization.

40609296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40609296 is about 6372.5423498004. The cubic root of 40609296 is about 343.7229155079.

The spelling of 40609296 in words is "forty million, six hundred nine thousand, two hundred ninety-six".