384755280 has 320 divisors, whose sum is σ = 1493237760. Its totient is φ = 79792128.

The previous prime is 384755279. The next prime is 384755281. The reversal of 384755280 is 82557483.

It is an interprime number because it is at equal distance from previous prime (384755279) and next prime (384755281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384755281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725249 + ... + 1725471.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^384755280 is an apocalyptic number.

384755280 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 384755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746618880).

384755280 is an abundant number, since it is smaller than the sum of its proper divisors (1108482480).

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

384755280 is a wasteful number, since it uses less digits than its factorization.

384755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 384755280 is about 19615.1798360352. The cubic root of 384755280 is about 727.3244649178.

The spelling of 384755280 in words is "three hundred eighty-four million, seven hundred fifty-five thousand, two hundred eighty".