4284524832 has 192 divisors, whose sum is σ = 13183156224. Its totient is φ = 1193149440.

The previous prime is 4284524831. The next prime is 4284524863. The reversal of 4284524832 is 2384254824.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4284524831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205573 + ... + 5206395.

It is an arithmetic number, because the mean of its divisors is an integer number (68662272).

Almost surely, 2^4284524832 is an apocalyptic number.

4284524832 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 4284524832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591578112).

4284524832 is an abundant number, since it is smaller than the sum of its proper divisors (8898631392).

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

4284524832 is a wasteful number, since it uses less digits than its factorization.

4284524832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 4284524832 is about 65456.2818375746. The cubic root of 4284524832 is about 1624.1802359273.

The spelling of 4284524832 in words is "four billion, two hundred eighty-four million, five hundred twenty-four thousand, eight hundred thirty-two".