438768283700 has 72 divisors (see below), whose sum is σ = 995180262720. Its totient is φ = 167596704000.

The previous prime is 438768283661. The next prime is 438768283711. The reversal of 438768283700 is 7382867834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223591 + ... + 1541009.

Almost surely, 2^438768283700 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 438768283700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497590131360).

438768283700 is an abundant number, since it is smaller than the sum of its proper divisors (556411979020).

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

438768283700 is a wasteful number, since it uses less digits than its factorization.

438768283700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318057 (or 318050 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 438768283700 in words is "four hundred thirty-eight billion, seven hundred sixty-eight million, two hundred eighty-three thousand, seven hundred".