385404096 has 224 divisors, whose sum is σ = 1287475200. Its totient is φ = 98841600.

The previous prime is 385404083. The next prime is 385404119. The reversal of 385404096 is 690404583.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936605 + ... + 1936803.

Almost surely, 2^385404096 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 385404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643737600).

385404096 is an abundant number, since it is smaller than the sum of its proper divisors (902071104).

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

385404096 is a wasteful number, since it uses less digits than its factorization.

385404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 385404096 is about 19631.7114893226. The cubic root of 385404096 is about 727.7330664078.

The spelling of 385404096 in words is "three hundred eighty-five million, four hundred four thousand, ninety-six".