385296080 has 40 divisors (see below), whose sum is σ = 964724712. Its totient is φ = 142262784.

The previous prime is 385296077. The next prime is 385296089. The reversal of 385296080 is 80692583.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 383846464 = 1204^2 + 19592^2 .

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 (385296089) 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, 184199 + ... + 186278.

Almost surely, 2^385296080 is an apocalyptic number.

It is an amenable number.

385296080 is an abundant number, since it is smaller than the sum of its proper divisors (579428632).

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

385296080 is a wasteful number, since it uses less digits than its factorization.

385296080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370503 (or 370497 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 385296080 is about 19628.9602373636. The cubic root of 385296080 is about 727.6650735656.

The spelling of 385296080 in words is "three hundred eighty-five million, two hundred ninety-six thousand, eighty".