385506520 has 48 divisors (see below), whose sum is σ = 1009009440. Its totient is φ = 132172992.

The previous prime is 385506487. The next prime is 385506529. The reversal of 385506520 is 25605583.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385506529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96384 + ... + 100303.

It is an arithmetic number, because the mean of its divisors is an integer number (21021030).

Almost surely, 2^385506520 is an apocalyptic number.

It is an amenable number.

385506520 is an abundant number, since it is smaller than the sum of its proper divisors (623502920).

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

385506520 is a wasteful number, since it uses less digits than its factorization.

385506520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196712 (or 196701 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 385506520 is about 19634.3199525728. The cubic root of 385506520 is about 727.7975275197.

The spelling of 385506520 in words is "three hundred eighty-five million, five hundred six thousand, five hundred twenty".