438020100 has 216 divisors, whose sum is σ = 1581023808. Its totient is φ = 99360000.

The previous prime is 438020083. The next prime is 438020117. The reversal of 438020100 is 1020834.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (438020083) and next prime (438020117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1581162 + ... + 1581438.

Almost surely, 2^438020100 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 438020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790511904).

438020100 is an abundant number, since it is smaller than the sum of its proper divisors (1143003708).

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

438020100 is a wasteful number, since it uses less digits than its factorization.

438020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 438020100 is about 20928.9297385222. The cubic root of 438020100 is about 759.4479485882.

Adding to 438020100 its reverse (1020834), we get a palindrome (439040934).

The spelling of 438020100 in words is "four hundred thirty-eight million, twenty thousand, one hundred".