385833096 has 192 divisors, whose sum is σ = 1213056000. Its totient is φ = 109633920.

The previous prime is 385833079. The next prime is 385833103. The reversal of 385833096 is 690338583.

385833096 is a `hidden beast` number, since 38 + 583 + 30 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074565 + ... + 1074923.

It is an arithmetic number, because the mean of its divisors is an integer number (6318000).

Almost surely, 2^385833096 is an apocalyptic number.

385833096 is a gapful number since it is divisible by the number (36) 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 385833096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528000).

385833096 is an abundant number, since it is smaller than the sum of its proper divisors (827222904).

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

385833096 is a wasteful number, since it uses less digits than its factorization.

385833096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 385833096 is about 19642.6346501685. The cubic root of 385833096 is about 728.0029837256.

The spelling of 385833096 in words is "three hundred eighty-five million, eight hundred thirty-three thousand, ninety-six".