385568640 has 256 divisors, whose sum is σ = 1394625600. Its totient is φ = 100638720.

The previous prime is 385568639. The next prime is 385568663. The reversal of 385568640 is 46865583.

385568640 is a `hidden beast` number, since 3 + 85 + 568 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915630 + ... + 916050.

Almost surely, 2^385568640 is an apocalyptic number.

385568640 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 385568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697312800).

385568640 is an abundant number, since it is smaller than the sum of its proper divisors (1009056960).

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

385568640 is a wasteful number, since it uses less digits than its factorization.

385568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 385568640 is about 19635.9018127511. The cubic root of 385568640 is about 727.8366175237.

The spelling of 385568640 in words is "three hundred eighty-five million, five hundred sixty-eight thousand, six hundred forty".