4284878160 has 80 divisors (see below), whose sum is σ = 13356645120. Its totient is φ = 1136309760.

The previous prime is 4284878141. The next prime is 4284878161. The reversal of 4284878160 is 618784824.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284878161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5880 + ... + 92759.

It is an arithmetic number, because the mean of its divisors is an integer number (166958064).

Almost surely, 2^4284878160 is an apocalyptic number.

4284878160 is a gapful number since it is divisible by the number (40) 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 4284878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678322560).

4284878160 is an abundant number, since it is smaller than the sum of its proper divisors (9071766960).

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

4284878160 is a wasteful number, since it uses less digits than its factorization.

4284878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98836 (or 98830 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 4284878160 is about 65458.9807436688. The cubic root of 4284878160 is about 1624.2248812966.

The spelling of 4284878160 in words is "four billion, two hundred eighty-four million, eight hundred seventy-eight thousand, one hundred sixty".