4224673200 has 240 divisors, whose sum is σ = 14830336512. Its totient is φ = 1019520000.

The previous prime is 4224673177. The next prime is 4224673207. The reversal of 4224673200 is 23764224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4224673207) 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, 3576610 + ... + 3577790.

Almost surely, 2^4224673200 is an apocalyptic number.

4224673200 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 4224673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415168256).

4224673200 is an abundant number, since it is smaller than the sum of its proper divisors (10605663312).

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

4224673200 is a wasteful number, since it uses less digits than its factorization.

4224673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4224673200 is about 64997.4861052333. The cubic root of 4224673200 is about 1616.5818800375.

The spelling of 4224673200 in words is "four billion, two hundred twenty-four million, six hundred seventy-three thousand, two hundred".