438791040 has 256 divisors, whose sum is σ = 1581408000. Its totient is φ = 114960384.

The previous prime is 438791011. The next prime is 438791047. The reversal of 438791040 is 40197834.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 438790986 and 438791004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438791047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1157571 + ... + 1157949.

It is an arithmetic number, because the mean of its divisors is an integer number (6177375).

Almost surely, 2^438791040 is an apocalyptic number.

438791040 is a gapful number since it is divisible by the number (40) 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 438791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790704000).

438791040 is an abundant number, since it is smaller than the sum of its proper divisors (1142616960).

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

438791040 is a wasteful number, since it uses less digits than its factorization.

438791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 438791040 is about 20947.3396878935. The cubic root of 438791040 is about 759.8932444694.

The spelling of 438791040 in words is "four hundred thirty-eight million, seven hundred ninety-one thousand, forty".