385028640 has 168 divisors, whose sum is σ = 1364234508. Its totient is φ = 102643200.

The previous prime is 385028603. The next prime is 385028647. The reversal of 385028640 is 46820583.

385028640 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365421456 + 19607184 = 19116^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 385028595 and 385028604.

It is not an unprimeable number, because it can be changed into a prime (385028647) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114990 + ... + 118290.

Almost surely, 2^385028640 is an apocalyptic number.

385028640 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 385028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682117254).

385028640 is an abundant number, since it is smaller than the sum of its proper divisors (979205868).

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

385028640 is an equidigital number, since it uses as much as digits as its factorization.

385028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 385028640 is about 19622.1466715546. The cubic root of 385028640 is about 727.4966733826.

The spelling of 385028640 in words is "three hundred eighty-five million, twenty-eight thousand, six hundred forty".