385451136 has 320 divisors, whose sum is σ = 1350708480. Its totient is φ = 106831872.

The previous prime is 385451123. The next prime is 385451137. The reversal of 385451136 is 631154583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385451136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385451137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3411016 + ... + 3411128.

It is an arithmetic number, because the mean of its divisors is an integer number (4220964).

Almost surely, 2^385451136 is an apocalyptic number.

385451136 is a gapful number since it is divisible by the number (36) 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 385451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675354240).

385451136 is an abundant number, since it is smaller than the sum of its proper divisors (965257344).

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

385451136 is a wasteful number, since it uses less digits than its factorization.

385451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 385451136 is about 19632.9095143843. The cubic root of 385451136 is about 727.7626727104.

The spelling of 385451136 in words is "three hundred eighty-five million, four hundred fifty-one thousand, one hundred thirty-six".