40382784 has 84 divisors (see below), whose sum is σ = 124676916. Its totient is φ = 12423168.

The previous prime is 40382773. The next prime is 40382789. The reversal of 40382784 is 48728304.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 16646400 = 4872^2 + 4080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40382789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4792 + ... + 10184.

It is an arithmetic number, because the mean of its divisors is an integer number (1484249).

Almost surely, 2^40382784 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 40382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62338458).

40382784 is an abundant number, since it is smaller than the sum of its proper divisors (84294132).

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

40382784 is a wasteful number, since it uses less digits than its factorization.

40382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40382784 is about 6354.7449988178. The cubic root of 40382784 is about 343.0826468870.

The spelling of 40382784 in words is "forty million, three hundred eighty-two thousand, seven hundred eighty-four".