385833420 has 144 divisors (see below), whose sum is σ = 1347790080. Its totient is φ = 87516288.

The previous prime is 385833419. The next prime is 385833421. The reversal of 385833420 is 24338583.

385833420 is a `hidden beast` number, since 38 + 583 + 3 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385833419) and next prime (385833421).

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

It is not an unprimeable number, because it can be changed into a prime (385833421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174039 + ... + 176241.

Almost surely, 2^385833420 is an apocalyptic number.

385833420 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 385833420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673895040).

385833420 is an abundant number, since it is smaller than the sum of its proper divisors (961956660).

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

385833420 is a wasteful number, since it uses less digits than its factorization.

385833420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 385833420 is about 19642.6428975329. The cubic root of 385833420 is about 728.0031875037.

The spelling of 385833420 in words is "three hundred eighty-five million, eight hundred thirty-three thousand, four hundred twenty".