4286792160 has 576 divisors, whose sum is σ = 18272217600. Its totient is φ = 927148032.

The previous prime is 4286792149. The next prime is 4286792161. The reversal of 4286792160 is 612976824.

It is a happy number.

4286792160 is a `hidden beast` number, since 428 + 6 + 7 + 9 + 216 + 0 = 666.

4286792160 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286792161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5170626 + ... + 5171454.

It is an arithmetic number, because the mean of its divisors is an integer number (31722600).

Almost surely, 2^4286792160 is an apocalyptic number.

4286792160 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 4286792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136108800).

4286792160 is an abundant number, since it is smaller than the sum of its proper divisors (13985425440).

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

4286792160 is a wasteful number, since it uses less digits than its factorization.

4286792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4286792160 is about 65473.5989540822. The cubic root of 4286792160 is about 1624.4666854226.

The spelling of 4286792160 in words is "four billion, two hundred eighty-six million, seven hundred ninety-two thousand, one hundred sixty".