385362432 has 240 divisors, whose sum is σ = 1370328960. Its totient is φ = 101523456.

The previous prime is 385362407. The next prime is 385362433. The reversal of 385362432 is 234263583.

It is a happy number.

385362432 is a `hidden beast` number, since 385 + 36 + 243 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385362433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 418869 + ... + 419787.

It is an arithmetic number, because the mean of its divisors is an integer number (5709704).

Almost surely, 2^385362432 is an apocalyptic number.

385362432 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 385362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685164480).

385362432 is an abundant number, since it is smaller than the sum of its proper divisors (984966528).

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

385362432 is a wasteful number, since it uses less digits than its factorization.

385362432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 385362432 is about 19630.6503203536. The cubic root of 385362432 is about 727.7068416709.

The spelling of 385362432 in words is "three hundred eighty-five million, three hundred sixty-two thousand, four hundred thirty-two".