40505300 has 72 divisors (see below), whose sum is σ = 100118592. Its totient is φ = 14080000.

The previous prime is 40505299. The next prime is 40505317. The reversal of 40505300 is 350504.

40505300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24500 + ... + 26100.

It is an arithmetic number, because the mean of its divisors is an integer number (1390536).

Almost surely, 2^40505300 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 40505300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50059296).

40505300 is an abundant number, since it is smaller than the sum of its proper divisors (59613292).

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

40505300 is a wasteful number, since it uses less digits than its factorization.

40505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 40505300 is about 6364.3774243833. The cubic root of 40505300 is about 343.4292523237.

Adding to 40505300 its reverse (350504), we get a palindrome (40855804).

The spelling of 40505300 in words is "forty million, five hundred five thousand, three hundred".