861432480 has 144 divisors (see below), whose sum is σ = 2953117440. Its totient is φ = 228662784.

The previous prime is 861432413. The next prime is 861432503. The reversal of 861432480 is 84234168.

861432480 is a `hidden beast` number, since 8 + 614 + 32 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342909 + ... + 345411.

It is an arithmetic number, because the mean of its divisors is an integer number (20507760).

Almost surely, 2^861432480 is an apocalyptic number.

861432480 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 861432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476558720).

861432480 is an abundant number, since it is smaller than the sum of its proper divisors (2091684960).

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

861432480 is a wasteful number, since it uses less digits than its factorization.

861432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 861432480 is about 29350.1700165433. The cubic root of 861432480 is about 951.4962497414.

The spelling of 861432480 in words is "eight hundred sixty-one million, four hundred thirty-two thousand, four hundred eighty".