385146720 has 288 divisors, whose sum is σ = 1581914880. Its totient is φ = 83358720.

The previous prime is 385146719. The next prime is 385146731. The reversal of 385146720 is 27641583.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190515 + ... + 192525.

It is an arithmetic number, because the mean of its divisors is an integer number (5492760).

Almost surely, 2^385146720 is an apocalyptic number.

385146720 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 385146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790957440).

385146720 is an abundant number, since it is smaller than the sum of its proper divisors (1196768160).

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

385146720 is a wasteful number, since it uses less digits than its factorization.

385146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 385146720 is about 19625.1552860098. The cubic root of 385146720 is about 727.5710349740.

The spelling of 385146720 in words is "three hundred eighty-five million, one hundred forty-six thousand, seven hundred twenty".