896382480 has 160 divisors (see below), whose sum is σ = 3240864000. Its totient is φ = 204868608.

The previous prime is 896382469. The next prime is 896382493. The reversal of 896382480 is 84283698.

It is a happy number.

896382480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 76876 + ... + 87764.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 2^896382480 is an apocalyptic number.

896382480 is a gapful number since it is divisible by the number (80) 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 896382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432000).

896382480 is an abundant number, since it is smaller than the sum of its proper divisors (2344481520).

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

896382480 is a wasteful number, since it uses less digits than its factorization.

896382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10926 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 896382480 is about 29939.6472925116. The cubic root of 896382480 is about 964.1940634194.

The spelling of 896382480 in words is "eight hundred ninety-six million, three hundred eighty-two thousand, four hundred eighty".