385867552 has 144 divisors (see below), whose sum is σ = 929063520. Its totient is φ = 157151232.

The previous prime is 385867543. The next prime is 385867577. The reversal of 385867552 is 255768583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 385867496 and 385867505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3977968 + ... + 3978064.

It is an arithmetic number, because the mean of its divisors is an integer number (6451830).

Almost surely, 2^385867552 is an apocalyptic number.

385867552 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 385867552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464531760).

385867552 is an abundant number, since it is smaller than the sum of its proper divisors (543195968).

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

385867552 is a wasteful number, since it uses less digits than its factorization.

385867552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 49.

The square root of 385867552 is about 19643.5117023408. The cubic root of 385867552 is about 728.0246539974.

The spelling of 385867552 in words is "three hundred eighty-five million, eight hundred sixty-seven thousand, five hundred fifty-two".