385265520 has 240 divisors, whose sum is σ = 1371412224. Its totient is φ = 96768000.

The previous prime is 385265513. The next prime is 385265521. The reversal of 385265520 is 25562583.

It is a happy number.

385265520 is a `hidden beast` number, since 3 + 85 + 26 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385265521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914910 + ... + 915330.

Almost surely, 2^385265520 is an apocalyptic number.

385265520 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 385265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685706112).

385265520 is an abundant number, since it is smaller than the sum of its proper divisors (986146704).

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

385265520 is a wasteful number, since it uses less digits than its factorization.

385265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 385265520 is about 19628.1817802872. The cubic root of 385265520 is about 727.6458346532.

The spelling of 385265520 in words is "three hundred eighty-five million, two hundred sixty-five thousand, five hundred twenty".