4224004800 has 84 divisors (see below), whose sum is σ = 13858271496. Its totient is φ = 1126400000.

The previous prime is 4224004769. The next prime is 4224004859. The reversal of 4224004800 is 84004224.

4224004800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435201 + ... + 444800.

Almost surely, 2^4224004800 is an apocalyptic number.

4224004800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224004800 is an abundant number, since it is smaller than the sum of its proper divisors (9634266696).

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

4224004800 is a wasteful number, since it uses less digits than its factorization.

4224004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880026 (or 880011 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4224004800 is about 64992.3441645245. The cubic root of 4224004800 is about 1616.4966205577.

The spelling of 4224004800 in words is "four billion, two hundred twenty-four million, four thousand, eight hundred".