385889760 has 144 divisors (see below), whose sum is σ = 1332087120. Its totient is φ = 101713920.

The previous prime is 385889759. The next prime is 385889789. The reversal of 385889760 is 67988583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 385889697 and 385889706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126655 + ... + 129665.

It is an arithmetic number, because the mean of its divisors is an integer number (9250605).

Almost surely, 2^385889760 is an apocalyptic number.

385889760 is a gapful number since it is divisible by the number (30) 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 385889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666043560).

385889760 is an abundant number, since it is smaller than the sum of its proper divisors (946197360).

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

385889760 is a wasteful number, since it uses less digits than its factorization.

385889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 385889760 is about 19644.0769699164. The cubic root of 385889760 is about 728.0386205008.

The spelling of 385889760 in words is "three hundred eighty-five million, eight hundred eighty-nine thousand, seven hundred sixty".