382395420 has 144 divisors (see below), whose sum is σ = 1274757120. Its totient is φ = 92016000.

The previous prime is 382395413. The next prime is 382395427. The reversal of 382395420 is 24593283.

382395420 is a `hidden beast` number, since 3 + 82 + 39 + 542 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382395413) and next prime (382395427).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382395427) 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, 298341 + ... + 299619.

It is an arithmetic number, because the mean of its divisors is an integer number (8852480).

Almost surely, 2^382395420 is an apocalyptic number.

382395420 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 382395420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

382395420 is an abundant number, since it is smaller than the sum of its proper divisors (892361700).

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

382395420 is a wasteful number, since it uses less digits than its factorization.

382395420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 382395420 is about 19554.9333928807. The cubic root of 382395420 is about 725.8344225455.

The spelling of 382395420 in words is "three hundred eighty-two million, three hundred ninety-five thousand, four hundred twenty".