385517840 has 80 divisors (see below), whose sum is σ = 952653312. Its totient is φ = 144586752.

The previous prime is 385517831. The next prime is 385517843. The reversal of 385517840 is 48715583.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (385517843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634817 + ... + 635423.

Almost surely, 2^385517840 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 385517840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).

385517840 is an abundant number, since it is smaller than the sum of its proper divisors (567135472).

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

385517840 is a wasteful number, since it uses less digits than its factorization.

385517840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 385517840 is about 19634.6082211996. The cubic root of 385517840 is about 727.8046511237.

The spelling of 385517840 in words is "three hundred eighty-five million, five hundred seventeen thousand, eight hundred forty".