488414954560 has 224 divisors, whose sum is σ = 1320582332160. Its totient is φ = 170566705152.

The previous prime is 488414954479. The next prime is 488414954639. The reversal of 488414954560 is 65459414884.

It is a super-3 number, since 3×488414954560³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488414954495 and 488414954504.

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, 51608389 + ... + 51617851.

It is an arithmetic number, because the mean of its divisors is an integer number (5895456840).

Almost surely, 2^488414954560 is an apocalyptic number.

488414954560 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 488414954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660291166080).

488414954560 is an abundant number, since it is smaller than the sum of its proper divisors (832167377600).

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

488414954560 is a wasteful number, since it uses less digits than its factorization.

488414954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 488414954560 in words is "four hundred eighty-eight billion, four hundred fourteen million, nine hundred fifty-four thousand, five hundred sixty".