438673140 has 144 divisors (see below), whose sum is σ = 1449302400. Its totient is φ = 106977024.

The previous prime is 438673139. The next prime is 438673141. The reversal of 438673140 is 41376834.

It is an interprime number because it is at equal distance from previous prime (438673139) and next prime (438673141).

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 = 438673095 and 438673104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438673141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96969 + ... + 101391.

It is an arithmetic number, because the mean of its divisors is an integer number (10064600).

Almost surely, 2^438673140 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 438673140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724651200).

438673140 is an abundant number, since it is smaller than the sum of its proper divisors (1010629260).

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

438673140 is a wasteful number, since it uses less digits than its factorization.

438673140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 438673140 is about 20944.5252989892. The cubic root of 438673140 is about 759.8251790877.

The spelling of 438673140 in words is "four hundred thirty-eight million, six hundred seventy-three thousand, one hundred forty".