385948000 has 48 divisors (see below), whose sum is σ = 948284064. Its totient is φ = 154377600.

The previous prime is 385947983. The next prime is 385948021. The reversal of 385948000 is 849583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44244 + ... + 52243.

It is an arithmetic number, because the mean of its divisors is an integer number (19755918).

Almost surely, 2^385948000 is an apocalyptic number.

It is an amenable number.

385948000 is an abundant number, since it is smaller than the sum of its proper divisors (562336064).

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

385948000 is an equidigital number, since it uses as much as digits as its factorization.

385948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96512 (or 96494 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 385948000 is about 19645.5592946600. The cubic root of 385948000 is about 728.0752448088.

The spelling of 385948000 in words is "three hundred eighty-five million, nine hundred forty-eight thousand".