385587456000 has 768 divisors, whose sum is σ = 1359981342720. Its totient is φ = 96798310400.

The previous prime is 385587455983. The next prime is 385587456029. The reversal of 385587456000 is 654785583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466111869 + ... + 1466112131.

It is an arithmetic number, because the mean of its divisors is an integer number (1770809040).

Almost surely, 2^385587456000 is an apocalyptic number.

385587456000 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 385587456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679990671360).

385587456000 is an abundant number, since it is smaller than the sum of its proper divisors (974393886720).

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

385587456000 is a wasteful number, since it uses less digits than its factorization.

385587456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 385587456000 in words is "three hundred eighty-five billion, five hundred eighty-seven million, four hundred fifty-six thousand".