4286204832 has 768 divisors, whose sum is σ = 16257024000. Its totient is φ = 975421440.

The previous prime is 4286204807. The next prime is 4286204873. The reversal of 4286204832 is 2384026824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138264657 + ... + 138264687.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^4286204832 is an apocalyptic number.

4286204832 is a gapful number since it is divisible by the number (42) 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 4286204832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512000).

4286204832 is an abundant number, since it is smaller than the sum of its proper divisors (11970819168).

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

4286204832 is a wasteful number, since it uses less digits than its factorization.

4286204832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4286204832 is about 65469.1135727375. The cubic root of 4286204832 is about 1624.3924933220.

The spelling of 4286204832 in words is "four billion, two hundred eighty-six million, two hundred four thousand, eight hundred thirty-two".