385500052 has 36 divisors (see below), whose sum is σ = 789373620. Its totient is φ = 164244864.

The previous prime is 385500043. The next prime is 385500067. The reversal of 385500052 is 250005583.

It can be written as a sum of positive squares in 2 ways, for example, as 294602896 + 90897156 = 17164^2 + 9534^2 .

It is a super-2 number, since 2×385500052² = 297220580184005408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28224 + ... + 39592.

It is an arithmetic number, because the mean of its divisors is an integer number (21927045).

Almost surely, 2^385500052 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 385500052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394686810).

385500052 is an abundant number, since it is smaller than the sum of its proper divisors (403873568).

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

385500052 is a wasteful number, since it uses less digits than its factorization.

385500052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 385500052 is about 19634.1552402949. The cubic root of 385500052 is about 727.7934571858.

The spelling of 385500052 in words is "three hundred eighty-five million, five hundred thousand, fifty-two".