385200420 has 192 divisors, whose sum is σ = 1237082112. Its totient is φ = 88704000.

The previous prime is 385200397. The next prime is 385200437. The reversal of 385200420 is 24002583.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370680 + ... + 1370960.

It is an arithmetic number, because the mean of its divisors is an integer number (6443136).

Almost surely, 2^385200420 is an apocalyptic number.

385200420 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 385200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618541056).

385200420 is an abundant number, since it is smaller than the sum of its proper divisors (851881692).

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

385200420 is a wasteful number, since it uses less digits than its factorization.

385200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 385200420 is about 19626.5233803646. The cubic root of 385200420 is about 727.6048478448.

The spelling of 385200420 in words is "three hundred eighty-five million, two hundred thousand, four hundred twenty".