384618240 has 288 divisors, whose sum is σ = 1412812800. Its totient is φ = 98979840.

The previous prime is 384618203. The next prime is 384618277. The reversal of 384618240 is 42816483.

384618240 is a `hidden beast` number, since 38 + 4 + 618 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384618203) and next prime (384618277).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 384618195 and 384618204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071181 + ... + 1071539.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^384618240 is an apocalyptic number.

384618240 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 384618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

384618240 is an abundant number, since it is smaller than the sum of its proper divisors (1028194560).

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

384618240 is a wasteful number, since it uses less digits than its factorization.

384618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384618240 is about 19611.6863119927. The cubic root of 384618240 is about 727.2381032001.

The spelling of 384618240 in words is "three hundred eighty-four million, six hundred eighteen thousand, two hundred forty".