486816480 has 288 divisors, whose sum is σ = 1816214400. Its totient is φ = 122798592.

The previous prime is 486816479. The next prime is 486816481. The reversal of 486816480 is 84618684.

486816480 is a `hidden beast` number, since 486 + 8 + 164 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486816479) and next prime (486816481).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486816481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738391 + ... + 739049.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^486816480 is an apocalyptic number.

486816480 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 486816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

486816480 is an abundant number, since it is smaller than the sum of its proper divisors (1329397920).

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

486816480 is a wasteful number, since it uses less digits than its factorization.

486816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

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

The square root of 486816480 is about 22063.9180564106. The cubic root of 486816480 is about 786.6624564874.

The spelling of 486816480 in words is "four hundred eighty-six million, eight hundred sixteen thousand, four hundred eighty".