384951840 has 288 divisors, whose sum is σ = 1520285760. Its totient is φ = 81156096.

The previous prime is 384951839. The next prime is 384951857. The reversal of 384951840 is 48159483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 384951792 and 384951801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305131 + ... + 306389.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^384951840 is an apocalyptic number.

384951840 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 384951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760142880).

384951840 is an abundant number, since it is smaller than the sum of its proper divisors (1135333920).

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

384951840 is a wasteful number, since it uses less digits than its factorization.

384951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 384951840 is about 19620.1896015304. The cubic root of 384951840 is about 727.4482999596.

The spelling of 384951840 in words is "three hundred eighty-four million, nine hundred fifty-one thousand, eight hundred forty".