385268490000 has 225 divisors, whose sum is σ = 1347991077433. Its totient is φ = 102688608000.

The previous prime is 385268489989. The next prime is 385268490067. The reversal of 385268490000 is 94862583.

The square root of 385268490000 is 620700.

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

385268490000 is a `hidden beast` number, since 38 + 526 + 8 + 4 + 90 + 0 + 0 + 0 = 666.

385268490000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 379451072016 + 5817417984 = 615996^2 + 76272^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 186208966 + ... + 186211034.

Almost surely, 2^385268490000 is an apocalyptic number.

385268490000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385268490000 is the 620700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385268490000

385268490000 is an abundant number, since it is smaller than the sum of its proper divisors (962722587433).

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

385268490000 is an frugal number, since it uses more digits than its factorization.

385268490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 385268490000 in words is "three hundred eighty-five billion, two hundred sixty-eight million, four hundred ninety thousand".