487824480 has 576 divisors, whose sum is σ = 2060577792. Its totient is φ = 103403520.

The previous prime is 487824479. The next prime is 487824497. The reversal of 487824480 is 84428784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4736109 + ... + 4736211.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 2^487824480 is an apocalyptic number.

487824480 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 487824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896).

487824480 is an abundant number, since it is smaller than the sum of its proper divisors (1572753312).

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

487824480 is a wasteful number, since it uses less digits than its factorization.

487824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 487824480 is about 22086.7489685558. The cubic root of 487824480 is about 787.2050354130.

The spelling of 487824480 in words is "four hundred eighty-seven million, eight hundred twenty-four thousand, four hundred eighty".