384857730 has 160 divisors (see below), whose sum is σ = 1154165760. Its totient is φ = 91445760.

The previous prime is 384857717. The next prime is 384857731. The reversal of 384857730 is 37758483.

384857730 is a `hidden beast` number, since 3 + 8 + 48 + 577 + 30 = 666.

384857730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384857731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260895 + ... + 262365.

It is an arithmetic number, because the mean of its divisors is an integer number (7213536).

Almost surely, 2^384857730 is an apocalyptic number.

384857730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384857730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577082880).

384857730 is an abundant number, since it is smaller than the sum of its proper divisors (769308030).

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

384857730 is a wasteful number, since it uses less digits than its factorization.

384857730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 384857730 is about 19617.7911600669. The cubic root of 384857730 is about 727.3890148474.

The spelling of 384857730 in words is "three hundred eighty-four million, eight hundred fifty-seven thousand, seven hundred thirty".