4229398400 has 192 divisors, whose sum is σ = 10868679360. Its totient is φ = 1625088000.

The previous prime is 4229398399. The next prime is 4229398403. The reversal of 4229398400 is 48939224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229398403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9174170 + ... + 9174630.

It is an arithmetic number, because the mean of its divisors is an integer number (56607705).

Almost surely, 2^4229398400 is an apocalyptic number.

4229398400 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 4229398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434339680).

4229398400 is an abundant number, since it is smaller than the sum of its proper divisors (6639280960).

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

4229398400 is a wasteful number, since it uses less digits than its factorization.

4229398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 4229398400 is about 65033.8250451256. The cubic root of 4229398400 is about 1617.1843587156.

The spelling of 4229398400 in words is "four billion, two hundred twenty-nine million, three hundred ninety-eight thousand, four hundred".