385067520 has 240 divisors, whose sum is σ = 1385223840. Its totient is φ = 102518784.

The previous prime is 385067519. The next prime is 385067521. The reversal of 385067520 is 25760583.

It is an interprime number because it is at equal distance from previous prime (385067519) and next prime (385067521).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (385067521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 621771 + ... + 622389.

It is an arithmetic number, because the mean of its divisors is an integer number (5771766).

Almost surely, 2^385067520 is an apocalyptic number.

385067520 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 385067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692611920).

385067520 is an abundant number, since it is smaller than the sum of its proper divisors (1000156320).

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

385067520 is an frugal number, since it uses more digits than its factorization.

385067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 385067520 is about 19623.1373638366. The cubic root of 385067520 is about 727.5211599755.

The spelling of 385067520 in words is "three hundred eighty-five million, sixty-seven thousand, five hundred twenty".