448760952 has 64 divisors (see below), whose sum is σ = 1250340000. Its totient is φ = 149133312.

The previous prime is 448760947. The next prime is 448760969. The reversal of 448760952 is 259067844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448760898 and 448760907.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 72408 + ... + 78360.

Almost surely, 2^448760952 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 448760952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625170000).

448760952 is an abundant number, since it is smaller than the sum of its proper divisors (801579048).

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

448760952 is a wasteful number, since it uses less digits than its factorization.

448760952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 448760952 is about 21183.9786631312. The cubic root of 448760952 is about 765.6054568650.

The spelling of 448760952 in words is "four hundred forty-eight million, seven hundred sixty thousand, nine hundred fifty-two".