4255904000 has 144 divisors (see below), whose sum is σ = 10675566720. Its totient is φ = 1690572800.

The previous prime is 4255903997. The next prime is 4255904047. The reversal of 4255904000 is 4095524.

It is a happy number.

It is a super-2 number, since 2×4255904000² = 36225437714432000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5727629 + ... + 5728371.

It is an arithmetic number, because the mean of its divisors is an integer number (74135880).

Almost surely, 2^4255904000 is an apocalyptic number.

4255904000 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 4255904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337783360).

4255904000 is an abundant number, since it is smaller than the sum of its proper divisors (6419662720).

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

4255904000 is an equidigital number, since it uses as much as digits as its factorization.

4255904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 4255904000 is about 65237.2899498439. The cubic root of 4255904000 is about 1620.5556189968. Note that the first 3 decimals are identical.

Adding to 4255904000 its reverse (4095524), we get a palindrome (4259999524).

The spelling of 4255904000 in words is "four billion, two hundred fifty-five million, nine hundred four thousand".