438637680 has 400 divisors, whose sum is σ = 1693891584. Its totient is φ = 104509440.

The previous prime is 438637663. The next prime is 438637687. The reversal of 438637680 is 86736834.

438637680 is a `hidden beast` number, since 4 + 3 + 8 + 637 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438637687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3453777 + ... + 3453903.

Almost surely, 2^438637680 is an apocalyptic number.

438637680 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 438637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846945792).

438637680 is an abundant number, since it is smaller than the sum of its proper divisors (1255253904).

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

438637680 is a wasteful number, since it uses less digits than its factorization.

438637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 438637680 is about 20943.6787599505. The cubic root of 438637680 is about 759.8047051293.

The spelling of 438637680 in words is "four hundred thirty-eight million, six hundred thirty-seven thousand, six hundred eighty".