229430426400 has 1080 divisors, whose sum is σ = 1024785503280. Its totient is φ = 49668111360.

The previous prime is 229430426399. The next prime is 229430426417. The reversal of 229430426400 is 4624034922.

229430426400 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 3 + 0 + 4 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 60326899 + ... + 60330701.

It is an arithmetic number, because the mean of its divisors is an integer number (948875466).

Almost surely, 2^229430426400 is an apocalyptic number.

229430426400 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 229430426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512392751640).

229430426400 is an abundant number, since it is smaller than the sum of its proper divisors (795355076880).

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

229430426400 is a wasteful number, since it uses less digits than its factorization.

229430426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 229430426400 in words is "two hundred twenty-nine billion, four hundred thirty million, four hundred twenty-six thousand, four hundred".