384964800 has 336 divisors, whose sum is σ = 1442264832. Its totient is φ = 88985600.

The previous prime is 384964771. The next prime is 384964817. The reversal of 384964800 is 8469483.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214242 + ... + 1214558.

Almost surely, 2^384964800 is an apocalyptic number.

384964800 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 384964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721132416).

384964800 is an abundant number, since it is smaller than the sum of its proper divisors (1057300032).

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

384964800 is a wasteful number, since it uses less digits than its factorization.

384964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 384964800 is about 19620.5198707883. The cubic root of 384964800 is about 727.4564634260.

The spelling of 384964800 in words is "three hundred eighty-four million, nine hundred sixty-four thousand, eight hundred".