385250688 has 128 divisors (see below), whose sum is σ = 1197072000. Its totient is φ = 121637376.

The previous prime is 385250687. The next prime is 385250731. The reversal of 385250688 is 886052583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385250687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62731 + ... + 68597.

It is an arithmetic number, because the mean of its divisors is an integer number (9352125).

Almost surely, 2^385250688 is an apocalyptic number.

385250688 is a gapful number since it is divisible by the number (38) 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 385250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598536000).

385250688 is an abundant number, since it is smaller than the sum of its proper divisors (811821312).

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

385250688 is a wasteful number, since it uses less digits than its factorization.

385250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 385250688 is about 19627.8039525567. The cubic root of 385250688 is about 727.6364968667.

The spelling of 385250688 in words is "three hundred eighty-five million, two hundred fifty thousand, six hundred eighty-eight".