40304896 has 72 divisors (see below), whose sum is σ = 85541400. Its totient is φ = 18923520.

The previous prime is 40304881. The next prime is 40304903. The reversal of 40304896 is 69840304.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 40144896 = 400^2 + 6336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452820 + ... + 452908.

It is an arithmetic number, because the mean of its divisors is an integer number (1188075).

Almost surely, 2^40304896 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 40304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42770700).

40304896 is an abundant number, since it is smaller than the sum of its proper divisors (45236504).

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

40304896 is an equidigital number, since it uses as much as digits as its factorization.

40304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 40304896 is about 6348.6137069442. The cubic root of 40304896 is about 342.8619322082.

The spelling of 40304896 in words is "forty million, three hundred four thousand, eight hundred ninety-six".