385810432 has 102 divisors (see below), whose sum is σ = 913302728. Its totient is φ = 159645696.

The previous prime is 385810417. The next prime is 385810457. The reversal of 385810432 is 234018583.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13303794 + ... + 13303822.

Almost surely, 2^385810432 is an apocalyptic number.

385810432 is a gapful number since it is divisible by the number (32) 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 385810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456651364).

385810432 is an abundant number, since it is smaller than the sum of its proper divisors (527492296).

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

385810432 is an frugal number, since it uses more digits than its factorization.

385810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 385810432 is about 19642.0577333435. The cubic root of 385810432 is about 727.9887290450.

The spelling of 385810432 in words is "three hundred eighty-five million, eight hundred ten thousand, four hundred thirty-two".