385819600 has 90 divisors (see below), whose sum is σ = 944995506. Its totient is φ = 151372800.

The previous prime is 385819591. The next prime is 385819601. The reversal of 385819600 is 6918583.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 201185856 + 184633744 = 14184^2 + 13588^2 .

It is a super-4 number, since 4×385819600⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385819601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2131510 + ... + 2131690.

Almost surely, 2^385819600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472497753).

385819600 is an abundant number, since it is smaller than the sum of its proper divisors (559175906).

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

385819600 is a wasteful number, since it uses less digits than its factorization.

385819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 385819600 is about 19642.2911087276. The cubic root of 385819600 is about 727.9944953897.

The spelling of 385819600 in words is "three hundred eighty-five million, eight hundred nineteen thousand, six hundred".