486319680 has 896 divisors, whose sum is σ = 2317455360. Its totient is φ = 92897280.

The previous prime is 486319667. The next prime is 486319733. The reversal of 486319680 is 86913684.

486319680 is a `hidden beast` number, since 4 + 8 + 631 + 9 + 6 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 11309739 + ... + 11309781.

Almost surely, 2^486319680 is an apocalyptic number.

486319680 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 486319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158727680).

486319680 is an abundant number, since it is smaller than the sum of its proper divisors (1831135680).

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

486319680 is a wasteful number, since it uses less digits than its factorization.

486319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 486319680 is about 22052.6569827765. The cubic root of 486319680 is about 786.3947670242.

It can be divided in two parts, 48631 and 9680, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 486319680 in words is "four hundred eighty-six million, three hundred nineteen thousand, six hundred eighty".