480453520 has 80 divisors (see below), whose sum is σ = 1145819520. Its totient is φ = 187292672.

The previous prime is 480453499. The next prime is 480453529. The reversal of 480453520 is 25354084.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (480453529) 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, 646269 + ... + 647011.

It is an arithmetic number, because the mean of its divisors is an integer number (14322744).

Almost surely, 2^480453520 is an apocalyptic number.

480453520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

480453520 is the 10960-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572909760).

480453520 is an abundant number, since it is smaller than the sum of its proper divisors (665366000).

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

480453520 is a wasteful number, since it uses less digits than its factorization.

480453520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 480453520 is about 21919.2499871688. The cubic root of 480453520 is about 783.2200437742.

The spelling of 480453520 in words is "four hundred eighty million, four hundred fifty-three thousand, five hundred twenty".