480868272 has 160 divisors (see below), whose sum is σ = 1420623360. Its totient is φ = 155692800.

The previous prime is 480868259. The next prime is 480868277. The reversal of 480868272 is 272868084.

It is a happy number.

It is a super-3 number, since 3×480868272³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480868277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4494043 + ... + 4494149.

It is an arithmetic number, because the mean of its divisors is an integer number (8878896).

Almost surely, 2^480868272 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 480868272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

480868272 is an abundant number, since it is smaller than the sum of its proper divisors (939755088).

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

480868272 is a wasteful number, since it uses less digits than its factorization.

480868272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 480868272 is about 21928.7088539202. The cubic root of 480868272 is about 783.4453507932.

The spelling of 480868272 in words is "four hundred eighty million, eight hundred sixty-eight thousand, two hundred seventy-two".