859548480 has 224 divisors, whose sum is σ = 3204155136. Its totient is φ = 191102976.

The previous prime is 859548463. The next prime is 859548491. The reversal of 859548480 is 84845958.

859548480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 246912 + ... + 250368.

It is an arithmetic number, because the mean of its divisors is an integer number (14304264).

Almost surely, 2^859548480 is an apocalyptic number.

859548480 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 859548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602077568).

859548480 is an abundant number, since it is smaller than the sum of its proper divisors (2344606656).

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

859548480 is a wasteful number, since it uses less digits than its factorization.

859548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 859548480 is about 29318.0572344076. The cubic root of 859548480 is about 950.8020853047.

It can be divided in two parts, 8595 and 48480, that added together give a palindrome (57075).

The spelling of 859548480 in words is "eight hundred fifty-nine million, five hundred forty-eight thousand, four hundred eighty".