385110432 has 72 divisors (see below), whose sum is σ = 1251615456. Its totient is φ = 110030976.

The previous prime is 385110421. The next prime is 385110491. The reversal of 385110432 is 234011583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 385110396 and 385110405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93498 + ... + 97529.

It is an arithmetic number, because the mean of its divisors is an integer number (17383548).

Almost surely, 2^385110432 is an apocalyptic number.

385110432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385110432 is an abundant number, since it is smaller than the sum of its proper divisors (866505024).

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

385110432 is a wasteful number, since it uses less digits than its factorization.

385110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191050 (or 191039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 385110432 is about 19624.2307365155. The cubic root of 385110432 is about 727.5481840052.

The spelling of 385110432 in words is "three hundred eighty-five million, one hundred ten thousand, four hundred thirty-two".