438143040 has 448 divisors, whose sum is σ = 1733702400. Its totient is φ = 103514112.

The previous prime is 438143029. The next prime is 438143051. The reversal of 438143040 is 40341834.

It is an interprime number because it is at equal distance from previous prime (438143029) and next prime (438143051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 438142995 and 438143013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790642 + ... + 2790798.

Almost surely, 2^438143040 is an apocalyptic number.

438143040 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 438143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866851200).

438143040 is an abundant number, since it is smaller than the sum of its proper divisors (1295559360).

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

438143040 is a wasteful number, since it uses less digits than its factorization.

438143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 438143040 is about 20931.8666152830. The cubic root of 438143040 is about 759.5189938797.

Adding to 438143040 its reverse (40341834), we get a palindrome (478484874).

The spelling of 438143040 in words is "four hundred thirty-eight million, one hundred forty-three thousand, forty".