385697220480 has 2048 divisors, whose sum is σ = 1699671859200. Its totient is φ = 82413158400.

The previous prime is 385697220427. The next prime is 385697220499. The reversal of 385697220480 is 84022796583.

385697220480 is a `hidden beast` number, since 3 + 8 + 56 + 97 + 2 + 20 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 8206323817 + ... + 8206323863.

It is an arithmetic number, because the mean of its divisors is an integer number (829917900).

Almost surely, 2^385697220480 is an apocalyptic number.

385697220480 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 385697220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849835929600).

385697220480 is an abundant number, since it is smaller than the sum of its proper divisors (1313974638720).

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

385697220480 is a wasteful number, since it uses less digits than its factorization.

385697220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 385697220480 in words is "three hundred eighty-five billion, six hundred ninety-seven million, two hundred twenty thousand, four hundred eighty".