385290864 has 160 divisors (see below), whose sum is σ = 1277219840. Its totient is φ = 108926208.

The previous prime is 385290863. The next prime is 385290881. The reversal of 385290864 is 468092583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385290863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310854 + ... + 312090.

It is an arithmetic number, because the mean of its divisors is an integer number (7982624).

Almost surely, 2^385290864 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 385290864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638609920).

385290864 is an abundant number, since it is smaller than the sum of its proper divisors (891928976).

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

385290864 is a wasteful number, since it uses less digits than its factorization.

385290864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 385290864 is about 19628.8273720057. The cubic root of 385290864 is about 727.6617899280.

The spelling of 385290864 in words is "three hundred eighty-five million, two hundred ninety thousand, eight hundred sixty-four".