40505784 has 64 divisors (see below), whose sum is σ = 112078080. Its totient is φ = 12096000.

The previous prime is 40505741. The next prime is 40505789. The reversal of 40505784 is 48750504.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505789) 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, 17664 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (1751220).

Almost surely, 2^40505784 is an apocalyptic number.

40505784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40505784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56039040).

40505784 is an abundant number, since it is smaller than the sum of its proper divisors (71572296).

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

40505784 is a wasteful number, since it uses less digits than its factorization.

40505784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 40505784 is about 6364.4154484132. The cubic root of 40505784 is about 343.4306202031.

The spelling of 40505784 in words is "forty million, five hundred five thousand, seven hundred eighty-four".