448431552 has 140 divisors (see below), whose sum is σ = 1387455696. Its totient is φ = 142940160.

The previous prime is 448431547. The next prime is 448431583. The reversal of 448431552 is 255134844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117352 + ... + 121112.

Almost surely, 2^448431552 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 448431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693727848).

448431552 is an abundant number, since it is smaller than the sum of its proper divisors (939024144).

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

448431552 is a wasteful number, since it uses less digits than its factorization.

448431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3789 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 448431552 is about 21176.2024924206. The cubic root of 448431552 is about 765.4180874977.

The spelling of 448431552 in words is "four hundred forty-eight million, four hundred thirty-one thousand, five hundred fifty-two".