384748920 has 128 divisors (see below), whose sum is σ = 1313928000. Its totient is φ = 100085760.

The previous prime is 384748901. The next prime is 384748927. The reversal of 384748920 is 29847483.

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 (384748927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39936 + ... + 48624.

Almost surely, 2^384748920 is an apocalyptic number.

384748920 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 384748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656964000).

384748920 is an abundant number, since it is smaller than the sum of its proper divisors (929179080).

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

384748920 is a wasteful number, since it uses less digits than its factorization.

384748920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 384748920 is about 19615.0177160256. The cubic root of 384748920 is about 727.3204573409.

The spelling of 384748920 in words is "three hundred eighty-four million, seven hundred forty-eight thousand, nine hundred twenty".