488480 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 188160.

The previous prime is 488473. The next prime is 488503. The reversal of 488480 is 84884.

488480 = T₄₉ + T₅₀ + ... + T₁₄₄.

It is a super-2 number, since 2×488480² = 477225420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6845 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁴⁸⁸⁴⁸⁰ is an apocalyptic number.

488480 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 488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

488480 is an abundant number, since it is smaller than the sum of its proper divisors (709024).

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

488480 is a wasteful number, since it uses less digits than its factorization.

488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 488480 is about 698.9134424233. The cubic root of 488480 is about 78.7557482996.

The spelling of 488480 in words is "four hundred eighty-eight thousand, four hundred eighty".