384246240 has 432 divisors, whose sum is σ = 1540452816. Its totient is φ = 79994880.

The previous prime is 384246157. The next prime is 384246241. The reversal of 384246240 is 42642483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384246241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12395025 + ... + 12395055.

It is an arithmetic number, because the mean of its divisors is an integer number (3565863).

Almost surely, 2^384246240 is an apocalyptic number.

384246240 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 384246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770226408).

384246240 is an abundant number, since it is smaller than the sum of its proper divisors (1156206576).

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

384246240 is a wasteful number, since it uses less digits than its factorization.

384246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 384246240 is about 19602.1998765445. The cubic root of 384246240 is about 727.0035677464.

The spelling of 384246240 in words is "three hundred eighty-four million, two hundred forty-six thousand, two hundred forty".