385429200 has 240 divisors, whose sum is σ = 1374245376. Its totient is φ = 91699200.

The previous prime is 385429181. The next prime is 385429201. The reversal of 385429200 is 2924583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385429201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483202 + ... + 483998.

Almost surely, 2^385429200 is an apocalyptic number.

385429200 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 385429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687122688).

385429200 is an abundant number, since it is smaller than the sum of its proper divisors (988816176).

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

385429200 is a wasteful number, since it uses less digits than its factorization.

385429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 385429200 is about 19632.3508526106. The cubic root of 385429200 is about 727.7488668058.

The spelling of 385429200 in words is "three hundred eighty-five million, four hundred twenty-nine thousand, two hundred".