385989840 has 160 divisors (see below), whose sum is σ = 1346163840. Its totient is φ = 101643264.

The previous prime is 385989827. The next prime is 385989853. The reversal of 385989840 is 48989583.

It is a happy number.

385989840 is a `hidden beast` number, since 3 + 8 + 598 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (385989827) and next prime (385989853).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178204 + ... + 180356.

It is an arithmetic number, because the mean of its divisors is an integer number (8413524).

Almost surely, 2^385989840 is an apocalyptic number.

385989840 is a gapful number since it is divisible by the number (30) 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 385989840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673081920).

385989840 is an abundant number, since it is smaller than the sum of its proper divisors (960174000).

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

385989840 is a wasteful number, since it uses less digits than its factorization.

385989840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 385989840 is about 19646.6241374950. The cubic root of 385989840 is about 728.1015536790.

The spelling of 385989840 in words is "three hundred eighty-five million, nine hundred eighty-nine thousand, eight hundred forty".