385266432 has 72 divisors (see below), whose sum is σ = 1030249584. Its totient is φ = 127811584.

The previous prime is 385266391. The next prime is 385266433. The reversal of 385266432 is 234662583.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (385266433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177868 + ... + 180020.

It is an arithmetic number, because the mean of its divisors is an integer number (14309022).

Almost surely, 2^385266432 is an apocalyptic number.

385266432 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 385266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515124792).

385266432 is an abundant number, since it is smaller than the sum of its proper divisors (644983152).

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

385266432 is a wasteful number, since it uses less digits than its factorization.

385266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 385266432 is about 19628.2050121757. The cubic root of 385266432 is about 727.6464088135.

The spelling of 385266432 in words is "three hundred eighty-five million, two hundred sixty-six thousand, four hundred thirty-two".