384104700 has 144 divisors (see below), whose sum is σ = 1411298560. Its totient is φ = 87791040.

The previous prime is 384104689. The next prime is 384104701. The reversal of 384104700 is 7401483.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384104701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8739 + ... + 29061.

Almost surely, 2^384104700 is an apocalyptic number.

384104700 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 384104700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705649280).

384104700 is an abundant number, since it is smaller than the sum of its proper divisors (1027193860).

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

384104700 is a wasteful number, since it uses less digits than its factorization.

384104700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20353 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 384104700 is about 19598.5892349424. The cubic root of 384104700 is about 726.9142910348.

The spelling of 384104700 in words is "three hundred eighty-four million, one hundred four thousand, seven hundred".