385551312 has 80 divisors (see below), whose sum is σ = 1023000000. Its totient is φ = 125079552.

The previous prime is 385551307. The next prime is 385551319. The reversal of 385551312 is 213155583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385551319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308064 + ... + 309312.

It is an arithmetic number, because the mean of its divisors is an integer number (12787500).

Almost surely, 2^385551312 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 385551312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511500000).

385551312 is an abundant number, since it is smaller than the sum of its proper divisors (637448688).

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

385551312 is a wasteful number, since it uses less digits than its factorization.

385551312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 385551312 is about 19635.4605751941. The cubic root of 385551312 is about 727.8257140247.

The spelling of 385551312 in words is "three hundred eighty-five million, five hundred fifty-one thousand, three hundred twelve".