384201600 has 192 divisors, whose sum is σ = 1307297280. Its totient is φ = 99072000.

The previous prime is 384201593. The next prime is 384201617. The reversal of 384201600 is 6102483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×384201600² = 295221738885120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296955 + ... + 298245.

It is an arithmetic number, because the mean of its divisors is an integer number (6808840).

Almost surely, 2^384201600 is an apocalyptic number.

384201600 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 384201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653648640).

384201600 is an abundant number, since it is smaller than the sum of its proper divisors (923095680).

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

384201600 is a wasteful number, since it uses less digits than its factorization.

384201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 384201600 is about 19601.0611957618. The cubic root of 384201600 is about 726.9754133211.

The spelling of 384201600 in words is "three hundred eighty-four million, two hundred one thousand, six hundred".