229928400 has 360 divisors, whose sum is σ = 912988440. Its totient is φ = 53268480.

The previous prime is 229928399. The next prime is 229928407. The reversal of 229928400 is 4829922.

229928400 is a `hidden beast` number, since 229 + 9 + 28 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 90782784 + 139145616 = 9528^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229928407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13525192 + ... + 13525208.

It is an arithmetic number, because the mean of its divisors is an integer number (2536079).

Almost surely, 2^229928400 is an apocalyptic number.

229928400 is a gapful number since it is divisible by the number (20) 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 229928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456494220).

229928400 is an abundant number, since it is smaller than the sum of its proper divisors (683060040).

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

229928400 is a wasteful number, since it uses less digits than its factorization.

229928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229928400 is about 15163.3901222649. The cubic root of 229928400 is about 612.6289829710.

The spelling of 229928400 in words is "two hundred twenty-nine million, nine hundred twenty-eight thousand, four hundred".