482141824 has 32 divisors (see below), whose sum is σ = 1002284640. Its totient is φ = 230588160.

The previous prime is 482141797. The next prime is 482141851. The reversal of 482141824 is 428141284.

It is an interprime number because it is at equal distance from previous prime (482141797) and next prime (482141851).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×482141824³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 482141824.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78942 + ... + 84829.

It is an arithmetic number, because the mean of its divisors is an integer number (31321395).

Almost surely, 2^482141824 is an apocalyptic number.

It is an amenable number.

482141824 is an abundant number, since it is smaller than the sum of its proper divisors (520142816).

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

482141824 is a wasteful number, since it uses less digits than its factorization.

482141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163808 (or 163796 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 482141824 is about 21957.7281156316. The cubic root of 482141824 is about 784.1363777749.

The spelling of 482141824 in words is "four hundred eighty-two million, one hundred forty-one thousand, eight hundred twenty-four".