384060800 has 96 divisors (see below), whose sum is σ = 954481320. Its totient is φ = 152698880.

The previous prime is 384060773. The next prime is 384060857. The reversal of 384060800 is 8060483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822167 + ... + 822633.

Almost surely, 2^384060800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477240660).

384060800 is an abundant number, since it is smaller than the sum of its proper divisors (570420520).

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

384060800 is a wasteful number, since it uses less digits than its factorization.

384060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 384060800 is about 19597.4692243667. The cubic root of 384060800 is about 726.8865965431.

The spelling of 384060800 in words is "three hundred eighty-four million, sixty thousand, eight hundred".