229072838400 has 1728 divisors, whose sum is σ = 1021934592000. Its totient is φ = 49102848000.

The previous prime is 229072838389. The next prime is 229072838419. The reversal of 229072838400 is 4838270922.

229072838400 is a `hidden beast` number, since 2 + 290 + 7 + 283 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1537401526 + ... + 1537401674.

Almost surely, 2^229072838400 is an apocalyptic number.

229072838400 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 229072838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510967296000).

229072838400 is an abundant number, since it is smaller than the sum of its proper divisors (792861753600).

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

229072838400 is a wasteful number, since it uses less digits than its factorization.

229072838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 229072838400 in words is "two hundred twenty-nine billion, seventy-two million, eight hundred thirty-eight thousand, four hundred".