438230760100 has 189 divisors, whose sum is σ = 1115231105667. Its totient is φ = 149472046080.

The previous prime is 438230760053. The next prime is 438230760127. The reversal of 438230760100 is 1067032834.

It is a happy number.

The square root of 438230760100 is 661990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70480692324 + 367750067776 = 265482^2 + 606424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2270625604 + ... + 2270625796.

Almost surely, 2^438230760100 is an apocalyptic number.

438230760100 is the 661990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438230760100

438230760100 is an abundant number, since it is smaller than the sum of its proper divisors (677000345567).

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

438230760100 is an frugal number, since it uses more digits than its factorization.

438230760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 438230760100 its reverse (1067032834), we get a palindrome (439297792934).

The spelling of 438230760100 in words is "four hundred thirty-eight billion, two hundred thirty million, seven hundred sixty thousand, one hundred".