4227238400 has 240 divisors, whose sum is σ = 13060681920. Its totient is φ = 1317273600.

The previous prime is 4227238397. The next prime is 4227238417. The reversal of 4227238400 is 48327224.

4227238400 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983456 + ... + 987744.

It is an arithmetic number, because the mean of its divisors is an integer number (54419508).

Almost surely, 2^4227238400 is an apocalyptic number.

4227238400 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 4227238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530340960).

4227238400 is an abundant number, since it is smaller than the sum of its proper divisors (8833443520).

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

4227238400 is a wasteful number, since it uses less digits than its factorization.

4227238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4227238400 is about 65017.2161815622. The cubic root of 4227238400 is about 1616.9090072581.

The spelling of 4227238400 in words is "four billion, two hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".