385950 has 48 divisors (see below), whose sum is σ = 999936. Its totient is φ = 98400.

The previous prime is 385943. The next prime is 385967. The reversal of 385950 is 59583.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385950.

It is an unprimeable number.

385950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³⁸⁵⁹⁵⁰ is an apocalyptic number.

385950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

385950 is an abundant number, since it is smaller than the sum of its proper divisors (613986).

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

385950 is a wasteful number, since it uses less digits than its factorization.

385950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 385950 is about 621.2487424535. The cubic root of 385950 is about 72.8076502446.

The spelling of 385950 in words is "three hundred eighty-five thousand, nine hundred fifty".