438023040 has 512 divisors, whose sum is σ = 1809561600. Its totient is φ = 87588864.

The previous prime is 438023039. The next prime is 438023099. The reversal of 438023040 is 40320834.

It is a Cunningham number, because it is equal to 20929²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 438023040.

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 63 ways as a sum of consecutive naturals, for example, 4018506 + ... + 4018614.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2^438023040 is an apocalyptic number.

438023040 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 438023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904780800).

438023040 is an abundant number, since it is smaller than the sum of its proper divisors (1371538560).

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

438023040 is a wasteful number, since it uses less digits than its factorization.

438023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 438023040 is about 20928.9999761097. Note that the first 4 decimals coincide. The cubic root of 438023040 is about 759.4496477279.

Adding to 438023040 its reverse (40320834), we get a palindrome (478343874).

The spelling of 438023040 in words is "four hundred thirty-eight million, twenty-three thousand, forty".