385328079504 has 225 divisors, whose sum is σ = 1144644953529. Its totient is φ = 125142796800.

The previous prime is 385328079497. The next prime is 385328079509. The reversal of 385328079504 is 405970823583.

The square root of 385328079504 is 620748.

It is a perfect power (a square), and thus also a powerful number.

385328079504 is a `hidden beast` number, since 3 + 8 + 53 + 2 + 80 + 7 + 9 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381493993104 + 3834086400 = 617652^2 + 61920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (385328079509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 960917704 + ... + 960918104.

Almost surely, 2^385328079504 is an apocalyptic number.

385328079504 is the 620748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385328079504

385328079504 is an abundant number, since it is smaller than the sum of its proper divisors (759316874025).

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

385328079504 is an frugal number, since it uses more digits than its factorization.

385328079504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 385328079504 in words is "three hundred eighty-five billion, three hundred twenty-eight million, seventy-nine thousand, five hundred four".