40306288 has 80 divisors (see below), whose sum is σ = 90396000. Its totient is φ = 17239040.

The previous prime is 40306267. The next prime is 40306289. The reversal of 40306288 is 88260304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40306289) 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 15 ways as a sum of consecutive naturals, for example, 270438 + ... + 270586.

It is an arithmetic number, because the mean of its divisors is an integer number (1129950).

Almost surely, 2^40306288 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 40306288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198000).

40306288 is an abundant number, since it is smaller than the sum of its proper divisors (50089712).

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

40306288 is a wasteful number, since it uses less digits than its factorization.

40306288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 40306288 is about 6348.7233362307. The cubic root of 40306288 is about 342.8658792747.

The spelling of 40306288 in words is "forty million, three hundred six thousand, two hundred eighty-eight".