384396240 has 160 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 96752128.

The previous prime is 384396193. The next prime is 384396241. The reversal of 384396240 is 42693483.

It is a super-2 number, since 2×384396240² = 295520938652275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384396241) 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, 457741 + ... + 458579.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^384396240 is an apocalyptic number.

384396240 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 384396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

384396240 is an abundant number, since it is smaller than the sum of its proper divisors (875523120).

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

384396240 is a wasteful number, since it uses less digits than its factorization.

384396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 384396240 is about 19606.0256043901. The cubic root of 384396240 is about 727.0981566989.

The spelling of 384396240 in words is "three hundred eighty-four million, three hundred ninety-six thousand, two hundred forty".