482124384 has 144 divisors (see below), whose sum is σ = 1573528320. Its totient is φ = 137168640.

The previous prime is 482124361. The next prime is 482124389. The reversal of 482124384 is 483421284.

482124384 is a `hidden beast` number, since 4 + 8 + 212 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482124389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763749 + ... + 764379.

It is an arithmetic number, because the mean of its divisors is an integer number (10927280).

Almost surely, 2^482124384 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 482124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786764160).

482124384 is an abundant number, since it is smaller than the sum of its proper divisors (1091403936).

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

482124384 is a wasteful number, since it uses less digits than its factorization.

482124384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 482124384 is about 21957.3309853452. The cubic root of 482124384 is about 784.1269230857.

The spelling of 482124384 in words is "four hundred eighty-two million, one hundred twenty-four thousand, three hundred eighty-four".