384622560 has 576 divisors, whose sum is σ = 1654732800. Its totient is φ = 83026944.

The previous prime is 384622547. The next prime is 384622561. The reversal of 384622560 is 65226483.

384622560 is a `hidden beast` number, since 38 + 4 + 62 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384622561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868601 + ... + 4868679.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^384622560 is an apocalyptic number.

384622560 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 384622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

384622560 is an abundant number, since it is smaller than the sum of its proper divisors (1270110240).

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

384622560 is a wasteful number, since it uses less digits than its factorization.

384622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 384622560 is about 19611.7964500960. The cubic root of 384622560 is about 727.2408259492.

The spelling of 384622560 in words is "three hundred eighty-four million, six hundred twenty-two thousand, five hundred sixty".