384854400 has 576 divisors, whose sum is σ = 1657393920. Its totient is φ = 83128320.

The previous prime is 384854399. The next prime is 384854411. The reversal of 384854400 is 4458483.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×384854400² = 296225818398720000, which contains 22 as substring.

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

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, 4636759 + ... + 4636841.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^384854400 is an apocalyptic number.

384854400 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 384854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

384854400 is an abundant number, since it is smaller than the sum of its proper divisors (1272539520).

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

384854400 is a wasteful number, since it uses less digits than its factorization.

384854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 384854400 is about 19617.7062879430. The cubic root of 384854400 is about 727.3869169185.

The spelling of 384854400 in words is "three hundred eighty-four million, eight hundred fifty-four thousand, four hundred".