488071584 has 288 divisors, whose sum is σ = 1864646784. Its totient is φ = 116951040.

The previous prime is 488071583. The next prime is 488071607. The reversal of 488071584 is 485170884.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×488071584² = 476427742216538112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488071583) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 287442 + ... + 289134.

It is an arithmetic number, because the mean of its divisors is an integer number (6474468).

Almost surely, 2^488071584 is an apocalyptic number.

488071584 is a gapful number since it is divisible by the number (44) 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 488071584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932323392).

488071584 is an abundant number, since it is smaller than the sum of its proper divisors (1376575200).

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

488071584 is a wasteful number, since it uses less digits than its factorization.

488071584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 488071584 is about 22092.3422026729. The cubic root of 488071584 is about 787.3379306692.

The spelling of 488071584 in words is "four hundred eighty-eight million, seventy-one thousand, five hundred eighty-four".