385008454897920 has 3456 divisors, whose sum is σ = 1693002540902400. Its totient is φ = 80515187343360.

The previous prime is 385008454897873. The next prime is 385008454897933. The reversal of 385008454897920 is 29798454800583.

385008454897920 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 0 + 8 + 4 + 548 + 9 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 205119048022 + ... + 205119049898.

It is an arithmetic number, because the mean of its divisors is an integer number (489873420400).

Almost surely, 2^{385008454897920} is an apocalyptic number.

385008454897920 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 385008454897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846501270451200).

385008454897920 is an abundant number, since it is smaller than the sum of its proper divisors (1307994086004480).

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

385008454897920 is a wasteful number, since it uses less digits than its factorization.

385008454897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 385008454897920 in words is "three hundred eighty-five trillion, eight billion, four hundred fifty-four million, eight hundred ninety-seven thousand, nine hundred twenty".