482200224 has 96 divisors (see below), whose sum is σ = 1389104640. Its totient is φ = 145248000.

The previous prime is 482200211. The next prime is 482200231. The reversal of 482200224 is 422002284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 482200194 and 482200203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187749 + ... + 190299.

It is an arithmetic number, because the mean of its divisors is an integer number (14469840).

Almost surely, 2^482200224 is an apocalyptic number.

482200224 is a gapful number since it is divisible by the number (44) 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 482200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694552320).

482200224 is an abundant number, since it is smaller than the sum of its proper divisors (906904416).

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

482200224 is a wasteful number, since it uses less digits than its factorization.

482200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 482200224 is about 21959.0579032890. The cubic root of 482200224 is about 784.1680363128.

It can be divided in two parts, 4 and 82200224, that added together give a palindrome (82200228).

The spelling of 482200224 in words is "four hundred eighty-two million, two hundred thousand, two hundred twenty-four".