384081600 has 504 divisors, whose sum is σ = 1551115008. Its totient is φ = 82790400.

The previous prime is 384081589. The next prime is 384081601. The reversal of 384081600 is 6180483.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384081601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5409565 + ... + 5409635.

Almost surely, 2^384081600 is an apocalyptic number.

384081600 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 384081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775557504).

384081600 is an abundant number, since it is smaller than the sum of its proper divisors (1167033408).

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

384081600 is a wasteful number, since it uses less digits than its factorization.

384081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 384081600 is about 19597.9998979488. Note that the first 3 decimals coincide. The cubic root of 384081600 is about 726.8997185699.

The spelling of 384081600 in words is "three hundred eighty-four million, eighty-one thousand, six hundred".