385465600 has 216 divisors, whose sum is σ = 1061853912. Its totient is φ = 137625600.

The previous prime is 385465589. The next prime is 385465601. The reversal of 385465600 is 6564583.

It can be written as a sum of positive squares in 12 ways, for example, as 364962816 + 20502784 = 19104^2 + 4528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385465600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385465601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3411144 + ... + 3411256.

Almost surely, 2^385465600 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 385465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530926956).

385465600 is an abundant number, since it is smaller than the sum of its proper divisors (676388312).

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

385465600 is a wasteful number, since it uses less digits than its factorization.

385465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 385465600 is about 19633.2778720213. The cubic root of 385465600 is about 727.7717756607.

The spelling of 385465600 in words is "three hundred eighty-five million, four hundred sixty-five thousand, six hundred".