486016960 has 336 divisors, whose sum is σ = 1472549760. Its totient is φ = 150958080.

The previous prime is 486016957. The next prime is 486016963. The reversal of 486016960 is 69610684.

It is an interprime number because it is at equal distance from previous prime (486016957) and next prime (486016963).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486016963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11302699 + ... + 11302741.

Almost surely, 2^486016960 is an apocalyptic number.

486016960 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 486016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736274880).

486016960 is an abundant number, since it is smaller than the sum of its proper divisors (986532800).

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

486016960 is a wasteful number, since it uses less digits than its factorization.

486016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 486016960 is about 22045.7923423042. The cubic root of 486016960 is about 786.2315637888.

The spelling of 486016960 in words is "four hundred eighty-six million, sixteen thousand, nine hundred sixty".