384145920 has 120 divisors (see below), whose sum is σ = 1330485156. Its totient is φ = 102432768.

The previous prime is 384145913. The next prime is 384145921. The reversal of 384145920 is 29541483.

It can be written as a sum of positive squares in 2 ways, for example, as 370485504 + 13660416 = 19248^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384145921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14704 + ... + 31376.

Almost surely, 2^384145920 is an apocalyptic number.

384145920 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 384145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665242578).

384145920 is an abundant number, since it is smaller than the sum of its proper divisors (946339236).

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

384145920 is a wasteful number, since it uses less digits than its factorization.

384145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16702 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 384145920 is about 19599.6408130353. The cubic root of 384145920 is about 726.9402929168.

The spelling of 384145920 in words is "three hundred eighty-four million, one hundred forty-five thousand, nine hundred twenty".