384471600 has 120 divisors (see below), whose sum is σ = 1260401472. Its totient is φ = 100128000.

The previous prime is 384471599. The next prime is 384471601. The reversal of 384471600 is 6174483.

It is an interprime number because it is at equal distance from previous prime (384471599) and next prime (384471601).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×384471600² = 295636822413120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384471601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47875 + ... + 55325.

Almost surely, 2^384471600 is an apocalyptic number.

384471600 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 384471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630200736).

384471600 is an abundant number, since it is smaller than the sum of its proper divisors (875929872).

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

384471600 is a wasteful number, since it uses less digits than its factorization.

384471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 384471600 is about 19607.9473683504. The cubic root of 384471600 is about 727.1456689020.

The spelling of 384471600 in words is "three hundred eighty-four million, four hundred seventy-one thousand, six hundred".