486384192 has 252 divisors, whose sum is σ = 1708983120. Its totient is φ = 131507712.

The previous prime is 486384179. The next prime is 486384193. The reversal of 486384192 is 291483684.

It is a happy number.

486384192 is a `hidden beast` number, since 4 + 8 + 638 + 4 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (486384193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535803 + ... + 536709.

Almost surely, 2^486384192 is an apocalyptic number.

486384192 is a gapful number since it is divisible by the number (42) 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 486384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854491560).

486384192 is an abundant number, since it is smaller than the sum of its proper divisors (1222598928).

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

486384192 is a wasteful number, since it uses less digits than its factorization.

486384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 938 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 486384192 is about 22054.1196151649. The cubic root of 486384192 is about 786.4295381553.

The spelling of 486384192 in words is "four hundred eighty-six million, three hundred eighty-four thousand, one hundred ninety-two".