385409360 has 120 divisors (see below), whose sum is σ = 1064265216. Its totient is φ = 127019520.

The previous prime is 385409327. The next prime is 385409411. The reversal of 385409360 is 63904583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2586566 + ... + 2586714.

Almost surely, 2^385409360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532132608).

385409360 is an abundant number, since it is smaller than the sum of its proper divisors (678855856).

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

385409360 is a wasteful number, since it uses less digits than its factorization.

385409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 385409360 is about 19631.8455576647. The cubic root of 385409360 is about 727.7363796138.

The spelling of 385409360 in words is "three hundred eighty-five million, four hundred nine thousand, three hundred sixty".