482202072 has 160 divisors (see below), whose sum is σ = 1498899600. Its totient is φ = 143596800.

The previous prime is 482202067. The next prime is 482202073. The reversal of 482202072 is 270202284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482202073) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 434254 + ... + 435362.

Almost surely, 2^482202072 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 482202072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749449800).

482202072 is an abundant number, since it is smaller than the sum of its proper divisors (1016697528).

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

482202072 is a wasteful number, since it uses less digits than its factorization.

482202072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 482202072 is about 21959.0999815566. The cubic root of 482202072 is about 784.1690380687.

The spelling of 482202072 in words is "four hundred eighty-two million, two hundred two thousand, seventy-two".