385207488 has 336 divisors, whose sum is σ = 1278111744. Its totient is φ = 114462720.

The previous prime is 385207477. The next prime is 385207517. The reversal of 385207488 is 884702583.

385207488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385207488² = 296769617622540288, which contains 22 as substring.

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, 8195881 + ... + 8195927.

It is an arithmetic number, because the mean of its divisors is an integer number (3803904).

Almost surely, 2^385207488 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 385207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

385207488 is an abundant number, since it is smaller than the sum of its proper divisors (892904256).

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

385207488 is a wasteful number, since it uses less digits than its factorization.

385207488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 385207488 is about 19626.7034419945. The cubic root of 385207488 is about 727.6092980646.

The spelling of 385207488 in words is "three hundred eighty-five million, two hundred seven thousand, four hundred eighty-eight".