385447680 has 288 divisors, whose sum is σ = 1442246400. Its totient is φ = 97210368.

The previous prime is 385447663. The next prime is 385447687. The reversal of 385447680 is 86744583.

385447680 is a `hidden beast` number, since 38 + 544 + 76 + 8 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385447687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656347 + ... + 656933.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^385447680 is an apocalyptic number.

385447680 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 385447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

385447680 is an abundant number, since it is smaller than the sum of its proper divisors (1056798720).

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

385447680 is a wasteful number, since it uses less digits than its factorization.

385447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 385447680 is about 19632.8214987047. The cubic root of 385447680 is about 727.7604976354.

The spelling of 385447680 in words is "three hundred eighty-five million, four hundred forty-seven thousand, six hundred eighty".