438100680 has 192 divisors, whose sum is σ = 1415620800. Its totient is φ = 108326400.

The previous prime is 438100673. The next prime is 438100681. The reversal of 438100680 is 86001834.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (438100681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3344215 + ... + 3344345.

It is an arithmetic number, because the mean of its divisors is an integer number (7373025).

Almost surely, 2^438100680 is an apocalyptic number.

438100680 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 438100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707810400).

438100680 is an abundant number, since it is smaller than the sum of its proper divisors (977520120).

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

438100680 is a wasteful number, since it uses less digits than its factorization.

438100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 438100680 is about 20930.8547364889. The cubic root of 438100680 is about 759.4945161342.

The spelling of 438100680 in words is "four hundred thirty-eight million, one hundred thousand, six hundred eighty".