882560448 has 504 divisors, whose sum is σ = 3344688256. Its totient is φ = 225815040.

The previous prime is 882560447. The next prime is 882560449. The reversal of 882560448 is 844065288.

882560448 is a `hidden beast` number, since 8 + 82 + 560 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (882560447) and next prime (882560449).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882560447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13172511 + ... + 13172577.

Almost surely, 2^882560448 is an apocalyptic number.

882560448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672344128).

882560448 is an abundant number, since it is smaller than the sum of its proper divisors (2462127808).

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

882560448 is a wasteful number, since it uses less digits than its factorization.

882560448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 882560448 is about 29707.9189442815. The cubic root of 882560448 is about 959.2124791463.

The spelling of 882560448 in words is "eight hundred eighty-two million, five hundred sixty thousand, four hundred forty-eight".