384655440 has 320 divisors, whose sum is σ = 1371912192. Its totient is φ = 88473600.

The previous prime is 384655429. The next prime is 384655451. The reversal of 384655440 is 44556483.

It is an interprime number because it is at equal distance from previous prime (384655429) and next prime (384655451).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3965472 + ... + 3965568.

Almost surely, 2^384655440 is an apocalyptic number.

384655440 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 384655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685956096).

384655440 is an abundant number, since it is smaller than the sum of its proper divisors (987256752).

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

384655440 is a wasteful number, since it uses less digits than its factorization.

384655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 384655440 is about 19612.6347031703. The cubic root of 384655440 is about 727.2615484267.

The spelling of 384655440 in words is "three hundred eighty-four million, six hundred fifty-five thousand, four hundred forty".