385827280 has 40 divisors (see below), whose sum is σ = 913983912. Its totient is φ = 151417344.

The previous prime is 385827251. The next prime is 385827289. The reversal of 385827280 is 82728583.

It can be written as a sum of positive squares in 4 ways, for example, as 6512704 + 379314576 = 2552^2 + 19476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385827289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41259 + ... + 49738.

Almost surely, 2^385827280 is an apocalyptic number.

It is an amenable number.

385827280 is an abundant number, since it is smaller than the sum of its proper divisors (528156632).

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

385827280 is a wasteful number, since it uses less digits than its factorization.

385827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91063 (or 91057 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 385827280 is about 19642.4866042973. The cubic root of 385827280 is about 727.9993257652. Note that the first 3 decimals are identical.

The spelling of 385827280 in words is "three hundred eighty-five million, eight hundred twenty-seven thousand, two hundred eighty".