385607460576 has 192 divisors, whose sum is σ = 1148621402880. Its totient is φ = 112289587200.

The previous prime is 385607460521. The next prime is 385607460599. The reversal of 385607460576 is 675064706583.

It is a super-2 number, since 2×385607460576² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24913576 + ... + 24929048.

It is an arithmetic number, because the mean of its divisors is an integer number (5982403140).

Almost surely, 2^385607460576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385607460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574310701440).

385607460576 is an abundant number, since it is smaller than the sum of its proper divisors (763013942304).

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

385607460576 is a wasteful number, since it uses less digits than its factorization.

385607460576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16569 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 385607460576 in words is "three hundred eighty-five billion, six hundred seven million, four hundred sixty thousand, five hundred seventy-six".