480289212 has 108 divisors (see below), whose sum is σ = 1330907760. Its totient is φ = 145956096.

The previous prime is 480289189. The next prime is 480289237. The reversal of 480289212 is 212982084.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 541033 + ... + 541919.

It is an arithmetic number, because the mean of its divisors is an integer number (12323220).

Almost surely, 2^480289212 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 480289212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665453880).

480289212 is an abundant number, since it is smaller than the sum of its proper divisors (850618548).

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

480289212 is a wasteful number, since it uses less digits than its factorization.

480289212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 480289212 is about 21915.5016369692. The cubic root of 480289212 is about 783.1307503696.

The spelling of 480289212 in words is "four hundred eighty million, two hundred eighty-nine thousand, two hundred twelve".