4083472000 has 64 divisors (see below), whose sum is σ = 10152572040. Its totient is φ = 1633382400.

The previous prime is 4083471989. The next prime is 4083472007. The reversal of 4083472000 is 2743804.

It can be written as a sum of positive squares in 4 ways, for example, as 830822976 + 3252649024 = 28824^2 + 57032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4083472000.

It is not an unprimeable number, because it can be changed into a prime (4083472007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111609 + ... + 143608.

Almost surely, 2^4083472000 is an apocalyptic number.

4083472000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4083472000 is an abundant number, since it is smaller than the sum of its proper divisors (6069100040).

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

4083472000 is an equidigital number, since it uses as much as digits as its factorization.

4083472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255246 (or 255224 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4083472000 is about 63902.0500453624. The cubic root of 4083472000 is about 1598.3670840579.

The spelling of 4083472000 in words is "four billion, eighty-three million, four hundred seventy-two thousand".