385459200 has 396 divisors, whose sum is σ = 1583886720. Its totient is φ = 87736320.

The previous prime is 385459169. The next prime is 385459223. The reversal of 385459200 is 2954583.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612681 + ... + 1612919.

Almost surely, 2^385459200 is an apocalyptic number.

385459200 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 385459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791943360).

385459200 is an abundant number, since it is smaller than the sum of its proper divisors (1198427520).

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

385459200 is a wasteful number, since it uses less digits than its factorization.

385459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 385459200 is about 19633.1148827689. The cubic root of 385459200 is about 727.7677478347.

The spelling of 385459200 in words is "three hundred eighty-five million, four hundred fifty-nine thousand, two hundred".