4052304000 has 384 divisors, whose sum is σ = 14744695680. Its totient is φ = 1066444800.

The previous prime is 4052303989. The next prime is 4052304007. The reversal of 4052304000 is 4032504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4052304007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15407869 + ... + 15408131.

It is an arithmetic number, because the mean of its divisors is an integer number (38397645).

Almost surely, 2^4052304000 is an apocalyptic number.

4052304000 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 4052304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372347840).

4052304000 is an abundant number, since it is smaller than the sum of its proper divisors (10692391680).

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

4052304000 is a wasteful number, since it uses less digits than its factorization.

4052304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4052304000 is about 63657.7096666225. The cubic root of 4052304000 is about 1594.2900637995.

Adding to 4052304000 its reverse (4032504), we get a palindrome (4056336504).

The spelling of 4052304000 in words is "four billion, fifty-two million, three hundred four thousand".