385774200 has 288 divisors, whose sum is σ = 1568604960. Its totient is φ = 82944000.

The previous prime is 385774189. The next prime is 385774201. The reversal of 385774200 is 2477583.

385774200 is a `hidden beast` number, since 385 + 7 + 74 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385774201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213300 + ... + 215100.

It is an arithmetic number, because the mean of its divisors is an integer number (5446545).

Almost surely, 2^385774200 is an apocalyptic number.

385774200 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 385774200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784302480).

385774200 is an abundant number, since it is smaller than the sum of its proper divisors (1182830760).

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

385774200 is a wasteful number, since it uses less digits than its factorization.

385774200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 385774200 is about 19641.1354050625. The cubic root of 385774200 is about 727.9659395166.

The spelling of 385774200 in words is "three hundred eighty-five million, seven hundred seventy-four thousand, two hundred".