234284947200 has 648 divisors, whose sum is σ = 865996041456. Its totient is φ = 60383232000.

The previous prime is 234284947189. The next prime is 234284947223. The reversal of 234284947200 is 2749482432.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 449682940 + ... + 449683460.

Almost surely, 2^234284947200 is an apocalyptic number.

234284947200 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 234284947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432998020728).

234284947200 is an abundant number, since it is smaller than the sum of its proper divisors (631711094256).

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

234284947200 is a wasteful number, since it uses less digits than its factorization.

234284947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 234284947200 in words is "two hundred thirty-four billion, two hundred eighty-four million, nine hundred forty-seven thousand, two hundred".