385319520 has 144 divisors (see below), whose sum is σ = 1360391760. Its totient is φ = 99197952.

The previous prime is 385319509. The next prime is 385319527. The reversal of 385319520 is 25913583.

385319520 is a `hidden beast` number, since 38 + 531 + 95 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×385319520² = 296942264986060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385319527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 46373.

It is an arithmetic number, because the mean of its divisors is an integer number (9447165).

Almost surely, 2^385319520 is an apocalyptic number.

385319520 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 385319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680195880).

385319520 is an abundant number, since it is smaller than the sum of its proper divisors (975072240).

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

385319520 is a wasteful number, since it uses less digits than its factorization.

385319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 385319520 is about 19629.5573052476. The cubic root of 385319520 is about 727.6798294242.

The spelling of 385319520 in words is "three hundred eighty-five million, three hundred nineteen thousand, five hundred twenty".