385007504 has 30 divisors (see below), whose sum is σ = 867741894. Its totient is φ = 165002880.

The previous prime is 385007479. The next prime is 385007531. The reversal of 385007504 is 405700583.

It is a happy number.

385007504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 196000000 + 189007504 = 14000^2 + 13748^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 244757 + ... + 246324.

Almost surely, 2^385007504 is an apocalyptic number.

It is an amenable number.

385007504 is an abundant number, since it is smaller than the sum of its proper divisors (482734390).

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

385007504 is a wasteful number, since it uses less digits than its factorization.

385007504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491103 (or 491090 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 385007504 is about 19621.6080890431. The cubic root of 385007504 is about 727.4833612551.

The spelling of 385007504 in words is "three hundred eighty-five million, seven thousand, five hundred four".