385946540 has 72 divisors (see below), whose sum is σ = 946300320. Its totient is φ = 131835648.

The previous prime is 385946537. The next prime is 385946551. The reversal of 385946540 is 45649583.

It is a junction number, because it is equal to n+sod(n) for n = 385946491 and 385946500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351272 + ... + 352368.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2^385946540 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 385946540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473150160).

385946540 is an abundant number, since it is smaller than the sum of its proper divisors (560353780).

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

385946540 is a wasteful number, since it uses less digits than its factorization.

385946540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 385946540 is about 19645.5221361001. The cubic root of 385946540 is about 728.0743267307.

The spelling of 385946540 in words is "three hundred eighty-five million, nine hundred forty-six thousand, five hundred forty".