484136424 has 72 divisors (see below), whose sum is σ = 1355057730. Its totient is φ = 156150720.

The previous prime is 484136399. The next prime is 484136431. The reversal of 484136424 is 424631484.

484136424 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 3 + 642 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441756324 + 42380100 = 21018^2 + 6510^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65694 + ... + 72690.

Almost surely, 2^484136424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677528865).

484136424 is an abundant number, since it is smaller than the sum of its proper divisors (870921306).

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

484136424 is a wasteful number, since it uses less digits than its factorization.

484136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7033 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 484136424 is about 22003.1003269994. The cubic root of 484136424 is about 785.2162029067.

The spelling of 484136424 in words is "four hundred eighty-four million, one hundred thirty-six thousand, four hundred twenty-four".