480312252 has 72 divisors (see below), whose sum is σ = 1389679200. Its totient is φ = 137023488.

The previous prime is 480312247. The next prime is 480312269. The reversal of 480312252 is 252213084.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 253324 + ... + 255212.

It is an arithmetic number, because the mean of its divisors is an integer number (19301100).

Almost surely, 2^480312252 is an apocalyptic number.

480312252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480312252 is an abundant number, since it is smaller than the sum of its proper divisors (909366948).

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

480312252 is a wasteful number, since it uses less digits than its factorization.

480312252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 480312252 is about 21916.0272859841. The cubic root of 480312252 is about 783.1432727162.

The spelling of 480312252 in words is "four hundred eighty million, three hundred twelve thousand, two hundred fifty-two".