385333664 has 48 divisors (see below), whose sum is σ = 784542528. Its totient is φ = 186181632.

The previous prime is 385333657. The next prime is 385333667. The reversal of 385333664 is 466333583.

It is a super-2 number, since 2×385333664² = 296964065223329792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385333667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132029 + ... + 134915.

It is an arithmetic number, because the mean of its divisors is an integer number (16344636).

Almost surely, 2^385333664 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 385333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392271264).

385333664 is an abundant number, since it is smaller than the sum of its proper divisors (399208864).

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

385333664 is a wasteful number, since it uses less digits than its factorization.

385333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3029 counting only the distinct ones).

The product of its digits is 466560, while the sum is 41.

The square root of 385333664 is about 19629.9175749670. The cubic root of 385333664 is about 727.6887330112.

The spelling of 385333664 in words is "three hundred eighty-five million, three hundred thirty-three thousand, six hundred sixty-four".