385465200 has 60 divisors (see below), whose sum is σ = 1234777368. Its totient is φ = 102790400.

The previous prime is 385465169. The next prime is 385465207. The reversal of 385465200 is 2564583.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×385465200² = 297166840822080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385465207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159411 + ... + 161810.

Almost surely, 2^385465200 is an apocalyptic number.

385465200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385465200 is an abundant number, since it is smaller than the sum of its proper divisors (849312168).

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

385465200 is a wasteful number, since it uses less digits than its factorization.

385465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321242 (or 321231 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 385465200 is about 19633.2676852326. The cubic root of 385465200 is about 727.7715239229.

The spelling of 385465200 in words is "three hundred eighty-five million, four hundred sixty-five thousand, two hundred".