385941600 has 324 divisors, whose sum is σ = 1499271228. Its totient is φ = 93350400.

The previous prime is 385941593. The next prime is 385941629. The reversal of 385941600 is 6149583.

385941600 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 41 + 600 = 666.

It is a super-2 number, since 2×385941600² = 297901837221120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870979 + ... + 871421.

Almost surely, 2^385941600 is an apocalyptic number.

385941600 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 385941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749635614).

385941600 is an abundant number, since it is smaller than the sum of its proper divisors (1113329628).

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

385941600 is a wasteful number, since it uses less digits than its factorization.

385941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 385941600 is about 19645.3964073011. The cubic root of 385941600 is about 728.0712203398.

The spelling of 385941600 in words is "three hundred eighty-five million, nine hundred forty-one thousand, six hundred".