4265004800 has 432 divisors, whose sum is σ = 12944504832. Its totient is φ = 1360281600.

The previous prime is 4265004791. The next prime is 4265004833. The reversal of 4265004800 is 84005624.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 51385559 + ... + 51385641.

Almost surely, 2^4265004800 is an apocalyptic number.

4265004800 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 4265004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472252416).

4265004800 is an abundant number, since it is smaller than the sum of its proper divisors (8679500032).

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

4265004800 is a wasteful number, since it uses less digits than its factorization.

4265004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4265004800 is about 65307.0042185369. The cubic root of 4265004800 is about 1621.7099254577.

The spelling of 4265004800 in words is "four billion, two hundred sixty-five million, four thousand, eight hundred".