488181456 has 120 divisors (see below), whose sum is σ = 1573750464. Its totient is φ = 138378240.

The previous prime is 488181439. The next prime is 488181467. The reversal of 488181456 is 654181884.

488181456 is a `hidden beast` number, since 48 + 81 + 81 + 456 = 666.

It is a super-2 number, since 2×488181456² = 476642267964559872, which contains 22 as substring.

Its product of digits (245760) is a multiple of the sum of its prime divisors (3840).

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 23 ways as a sum of consecutive naturals, for example, 130200 + ... + 133896.

Almost surely, 2^488181456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488181456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786875232).

488181456 is an abundant number, since it is smaller than the sum of its proper divisors (1085569008).

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

488181456 is a wasteful number, since it uses less digits than its factorization.

488181456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3840 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 488181456 is about 22094.8287162404. The cubic root of 488181456 is about 787.3970066364.

The spelling of 488181456 in words is "four hundred eighty-eight million, one hundred eighty-one thousand, four hundred fifty-six".