385422720 has 128 divisors (see below), whose sum is σ = 1236142080. Its totient is φ = 102144000.

The previous prime is 385422703. The next prime is 385422749. The reversal of 385422720 is 27224583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366195 + ... + 367245.

It is an arithmetic number, because the mean of its divisors is an integer number (9657360).

Almost surely, 2^385422720 is an apocalyptic number.

385422720 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 385422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618071040).

385422720 is an abundant number, since it is smaller than the sum of its proper divisors (850719360).

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

385422720 is a wasteful number, since it uses less digits than its factorization.

385422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 385422720 is about 19632.1858181915. The cubic root of 385422720 is about 727.7447883749.

The spelling of 385422720 in words is "three hundred eighty-five million, four hundred twenty-two thousand, seven hundred twenty".