384472267200 has 1764 divisors, whose sum is σ = 1709207605200. Its totient is φ = 85044556800.

The previous prime is 384472267199. The next prime is 384472267217. The reversal of 384472267200 is 2762274483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

384472267200 is a `hidden beast` number, since 384 + 4 + 7 + 2 + 2 + 67 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

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 251 ways as a sum of consecutive naturals, for example, 12402331185 + ... + 12402331215.

Almost surely, 2^384472267200 is an apocalyptic number.

384472267200 is a gapful number since it is divisible by the number (30) 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 384472267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854603802600).

384472267200 is an abundant number, since it is smaller than the sum of its proper divisors (1324735338000).

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

384472267200 is an frugal number, since it uses more digits than its factorization.

384472267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 384472267200 in words is "three hundred eighty-four billion, four hundred seventy-two million, two hundred sixty-seven thousand, two hundred".