385910824 has 96 divisors (see below), whose sum is σ = 839311200. Its totient is φ = 165784320.

The previous prime is 385910809. The next prime is 385910831. The reversal of 385910824 is 428019583.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132014 + ... + 2132194.

It is an arithmetic number, because the mean of its divisors is an integer number (8742825).

Almost surely, 2^385910824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385910824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419655600).

385910824 is an abundant number, since it is smaller than the sum of its proper divisors (453400376).

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

385910824 is a wasteful number, since it uses less digits than its factorization.

385910824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 385910824 is about 19644.6131038511. The cubic root of 385910824 is about 728.0518670529.

The spelling of 385910824 in words is "three hundred eighty-five million, nine hundred ten thousand, eight hundred twenty-four".