438071896900 has 135 divisors (see below), whose sum is σ = 1047586267245. Its totient is φ = 159007648800.

The previous prime is 438071896877. The next prime is 438071896901. The reversal of 438071896900 is 9698170834.

The square root of 438071896900 is 661870.

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

It can be written as a sum of positive squares in only one way, i.e., 157705882884 + 280366014016 = 397122^2 + 529496^2 .

It is a super-2 number, since 2×438071896900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (438071896901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 800862427 + ... + 800862973.

Almost surely, 2^438071896900 is an apocalyptic number.

438071896900 is the 661870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438071896900

438071896900 is an abundant number, since it is smaller than the sum of its proper divisors (609514370345).

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

438071896900 is an frugal number, since it uses more digits than its factorization.

438071896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 438071896900 in words is "four hundred thirty-eight billion, seventy-one million, eight hundred ninety-six thousand, nine hundred".