448132508329 has 27 divisors (see below), whose sum is σ = 520027253949. Its totient is φ = 385830945720.

The previous prime is 448132508321. The next prime is 448132508419. The reversal of 448132508329 is 923805231844.

It is a happy number.

The square root of 448132508329 is 669427.

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

It is not a de Polignac number, because 448132508329 - 2³ = 448132508321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (448132508321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139908642 + ... + 139911844.

Almost surely, 2^448132508329 is an apocalyptic number.

448132508329 is the 669427-th square number.

448132508329 is the 334714-th centered octagonal number.

It is an amenable number.

448132508329 is a deficient number, since it is larger than the sum of its proper divisors (71894745620).

448132508329 is an frugal number, since it uses more digits than its factorization.

448132508329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 448132508329 by its sum of digits (49), we get a square (21958492908121 = 4685989²).

The spelling of 448132508329 in words is "four hundred forty-eight billion, one hundred thirty-two million, five hundred eight thousand, three hundred twenty-nine".