384249600 has 324 divisors, whose sum is σ = 1571680656. Its totient is φ = 87736320.

The previous prime is 384249599. The next prime is 384249617. The reversal of 384249600 is 6942483.

It is a happy number.

384249600 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 49 + 600 = 666.

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 35 ways as a sum of consecutive naturals, for example, 402724 + ... + 403676.

Almost surely, 2^384249600 is an apocalyptic number.

384249600 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 384249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785840328).

384249600 is an abundant number, since it is smaller than the sum of its proper divisors (1187431056).

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

384249600 is a wasteful number, since it uses less digits than its factorization.

384249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 384249600 is about 19602.2855810235. The cubic root of 384249600 is about 727.0056868084.

The spelling of 384249600 in words is "three hundred eighty-four million, two hundred forty-nine thousand, six hundred".