40305384 has 256 divisors, whose sum is σ = 142848000. Its totient is φ = 10264320.

The previous prime is 40305379. The next prime is 40305401. The reversal of 40305384 is 48350304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 660714 + ... + 660774.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 2^40305384 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 40305384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

40305384 is an abundant number, since it is smaller than the sum of its proper divisors (102542616).

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

40305384 is a wasteful number, since it uses less digits than its factorization.

40305384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40305384 is about 6348.6521404153. The cubic root of 40305384 is about 342.8633159603.

Adding to 40305384 its reverse (48350304), we get a palindrome (88655688).

The spelling of 40305384 in words is "forty million, three hundred five thousand, three hundred eighty-four".