488461680 has 240 divisors, whose sum is σ = 1985390784. Its totient is φ = 105062400.

The previous prime is 488461667. The next prime is 488461693. The reversal of 488461680 is 86164884.

488461680 is a `hidden beast` number, since 488 + 4 + 6 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488461667) and next prime (488461693).

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82830 + ... + 88530.

Almost surely, 2^488461680 is an apocalyptic number.

488461680 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 488461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992695392).

488461680 is an abundant number, since it is smaller than the sum of its proper divisors (1496929104).

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

488461680 is a wasteful number, since it uses less digits than its factorization.

488461680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488461680 is about 22101.1691998410. The cubic root of 488461680 is about 787.5476373299.

It can be divided in two parts, 4884 and 61680, that added together give a square (66564 = 258²).

The spelling of 488461680 in words is "four hundred eighty-eight million, four hundred sixty-one thousand, six hundred eighty".