852320448 has 224 divisors, whose sum is σ = 2957291520. Its totient is φ = 235560960.

The previous prime is 852320437. The next prime is 852320459. The reversal of 852320448 is 844023258.

It is an interprime number because it is at equal distance from previous prime (852320437) and next prime (852320459).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373840 + ... + 376112.

Almost surely, 2^852320448 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 852320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478645760).

852320448 is an abundant number, since it is smaller than the sum of its proper divisors (2104971072).

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

852320448 is a wasteful number, since it uses less digits than its factorization.

852320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 852320448 is about 29194.5277064042. The cubic root of 852320448 is about 948.1294487547.

The spelling of 852320448 in words is "eight hundred fifty-two million, three hundred twenty thousand, four hundred forty-eight".