384200940 has 48 divisors (see below), whose sum is σ = 1076755680. Its totient is φ = 102359040.

The previous prime is 384200909. The next prime is 384200953. The reversal of 384200940 is 49002483.

It is a happy number.

It is a super-2 number, since 2×384200940² = 295220724593767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 384200898 and 384200907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83500 + ... + 87980.

It is an arithmetic number, because the mean of its divisors is an integer number (22432410).

Almost surely, 2^384200940 is an apocalyptic number.

384200940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384200940 is an abundant number, since it is smaller than the sum of its proper divisors (692554740).

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

384200940 is a wasteful number, since it uses less digits than its factorization.

384200940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 384200940 is about 19601.0443599314. The cubic root of 384200940 is about 726.9749970431.

The spelling of 384200940 in words is "three hundred eighty-four million, two hundred thousand, nine hundred forty".