438210900625 has 15 divisors (see below), whose sum is σ = 547609022301. Its totient is φ = 350555481000.

The previous prime is 438210900613. The next prime is 438210900641. The reversal of 438210900625 is 526009012834.

The square root of 438210900625 is 661975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 34355734609 + 403855166016 = 185353^2 + 635496^2 .

It is not a de Polignac number, because 438210900625 - 2¹³ = 438210892433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16536136 + ... + 16562614.

Almost surely, 2^438210900625 is an apocalyptic number.

438210900625 is the 661975-th square number.

438210900625 is the 330988-th centered octagonal number.

It is an amenable number.

438210900625 is a deficient number, since it is larger than the sum of its proper divisors (109398121676).

438210900625 is an frugal number, since it uses more digits than its factorization.

438210900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52978 (or 26484 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 438210900625 in words is "four hundred thirty-eight billion, two hundred ten million, nine hundred thousand, six hundred twenty-five".