385228432 has 40 divisors (see below), whose sum is σ = 792612216. Its totient is φ = 180750336.

The previous prime is 385228429. The next prime is 385228447. The reversal of 385228432 is 234822583.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 365727376 = 4416^2 + 19124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 385228391 and 385228400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99558 + ... + 103354.

Almost surely, 2^385228432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396306108).

385228432 is an abundant number, since it is smaller than the sum of its proper divisors (407383784).

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

385228432 is a wasteful number, since it uses less digits than its factorization.

385228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4189 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 385228432 is about 19627.2369935251. The cubic root of 385228432 is about 727.6224847007.

The spelling of 385228432 in words is "three hundred eighty-five million, two hundred twenty-eight thousand, four hundred thirty-two".