385515520 has 128 divisors (see below), whose sum is σ = 1001899080. Its totient is φ = 141557760.

The previous prime is 385515503. The next prime is 385515523. The reversal of 385515520 is 25515583.

It can be written as a sum of positive squares in 4 ways, for example, as 112869376 + 272646144 = 10624^2 + 16512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (385515523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129830 + ... + 2130010.

Almost surely, 2^385515520 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 385515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500949540).

385515520 is an abundant number, since it is smaller than the sum of its proper divisors (616383560).

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

385515520 is an equidigital number, since it uses as much as digits as its factorization.

385515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The square root of 385515520 is about 19634.5491417552. The cubic root of 385515520 is about 727.8031911738.

The spelling of 385515520 in words is "three hundred eighty-five million, five hundred fifteen thousand, five hundred twenty".