385306432 has 28 divisors (see below), whose sum is σ = 873820960. Its totient is φ = 165131136.

The previous prime is 385306429. The next prime is 385306433. The reversal of 385306432 is 234603583.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×385306432² = 296922093081141248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385306433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 429582 + ... + 430477.

Almost surely, 2^385306432 is an apocalyptic number.

385306432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385306432 is an abundant number, since it is smaller than the sum of its proper divisors (488514528).

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

385306432 is an equidigital number, since it uses as much as digits as its factorization.

385306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860078 (or 860068 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 385306432 is about 19629.2239276035. The cubic root of 385306432 is about 727.6715903906.

The spelling of 385306432 in words is "three hundred eighty-five million, three hundred six thousand, four hundred thirty-two".