480441280 has 112 divisors (see below), whose sum is σ = 1278879840. Its totient is φ = 170393600.

The previous prime is 480441271. The next prime is 480441281. The reversal of 480441280 is 82144084.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480441281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142656 + ... + 145984.

It is an arithmetic number, because the mean of its divisors is an integer number (11418570).

Almost surely, 2^480441280 is an apocalyptic number.

480441280 is a gapful number since it is divisible by the number (40) 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 480441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639439920).

480441280 is an abundant number, since it is smaller than the sum of its proper divisors (798438560).

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

480441280 is a wasteful number, since it uses less digits than its factorization.

480441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 480441280 is about 21918.9707787569. The cubic root of 480441280 is about 783.2133926315.

The spelling of 480441280 in words is "four hundred eighty million, four hundred forty-one thousand, two hundred eighty".