385757952 has 72 divisors (see below), whose sum is σ = 1048621056. Its totient is φ = 125838336.

The previous prime is 385757941. The next prime is 385757959. The reversal of 385757952 is 259757583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 385757895 and 385757904.

It is not an unprimeable number, because it can be changed into a prime (385757959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30753 + ... + 41439.

Almost surely, 2^385757952 is an apocalyptic number.

385757952 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 385757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524310528).

385757952 is an abundant number, since it is smaller than the sum of its proper divisors (662863104).

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

385757952 is a wasteful number, since it uses less digits than its factorization.

385757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10739 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 51.

The square root of 385757952 is about 19640.7217789978. The cubic root of 385757952 is about 727.9557192404.

The spelling of 385757952 in words is "three hundred eighty-five million, seven hundred fifty-seven thousand, nine hundred fifty-two".