385564080 has 320 divisors, whose sum is σ = 1411623936. Its totient is φ = 86732800.

The previous prime is 385564079. The next prime is 385564099. The reversal of 385564080 is 80465583.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5430445 + ... + 5430515.

Almost surely, 2^385564080 is an apocalyptic number.

385564080 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 385564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705811968).

385564080 is an abundant number, since it is smaller than the sum of its proper divisors (1026059856).

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

385564080 is a wasteful number, since it uses less digits than its factorization.

385564080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 385564080 is about 19635.7856985658. The cubic root of 385564080 is about 727.8337482135.

It can be divided in two parts, 385 and 564080, that added together give a palindrome (564465).

The spelling of 385564080 in words is "three hundred eighty-five million, five hundred sixty-four thousand, eighty".