480454520 has 128 divisors (see below), whose sum is σ = 1400716800. Its totient is φ = 144032256.

The previous prime is 480454519. The next prime is 480454543. The reversal of 480454520 is 25454084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65687 + ... + 72633.

It is an arithmetic number, because the mean of its divisors is an integer number (10943100).

Almost surely, 2^480454520 is an apocalyptic number.

480454520 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 480454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700358400).

480454520 is an abundant number, since it is smaller than the sum of its proper divisors (920262280).

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

480454520 is a wasteful number, since it uses less digits than its factorization.

480454520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 480454520 is about 21919.2727981564. The cubic root of 480454520 is about 783.2205871632.

The spelling of 480454520 in words is "four hundred eighty million, four hundred fifty-four thousand, five hundred twenty".