385822080 has 288 divisors, whose sum is σ = 1550942640. Its totient is φ = 88123392.

The previous prime is 385822069. The next prime is 385822093. The reversal of 385822080 is 80228583.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281557 + ... + 282923.

Almost surely, 2^385822080 is an apocalyptic number.

385822080 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 385822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775471320).

385822080 is an abundant number, since it is smaller than the sum of its proper divisors (1165120560).

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

385822080 is a wasteful number, since it uses less digits than its factorization.

385822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 385822080 is about 19642.3542377180. The cubic root of 385822080 is about 727.9960552054.

The spelling of 385822080 in words is "three hundred eighty-five million, eight hundred twenty-two thousand, eighty".