480527840 has 96 divisors (see below), whose sum is σ = 1230707520. Its totient is φ = 177295872.

The previous prime is 480527837. The next prime is 480527851. The reversal of 480527840 is 48725084.

It is a junction number, because it is equal to n+sod(n) for n = 480527794 and 480527803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350837 + ... + 352203.

It is an arithmetic number, because the mean of its divisors is an integer number (12819870).

Almost surely, 2^480527840 is an apocalyptic number.

480527840 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 480527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

480527840 is an abundant number, since it is smaller than the sum of its proper divisors (750179680).

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

480527840 is a wasteful number, since it uses less digits than its factorization.

480527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 480527840 is about 21920.9452350942. The cubic root of 480527840 is about 783.2604263920.

The spelling of 480527840 in words is "four hundred eighty million, five hundred twenty-seven thousand, eight hundred forty".