486720416 has 144 divisors (see below), whose sum is σ = 1247387904. Its totient is φ = 182020608.

The previous prime is 486720373. The next prime is 486720431. The reversal of 486720416 is 614027684.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 486720416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051001 + ... + 1051463.

It is an arithmetic number, because the mean of its divisors is an integer number (8662416).

Almost surely, 2^486720416 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 486720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623693952).

486720416 is an abundant number, since it is smaller than the sum of its proper divisors (760667488).

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

486720416 is a wasteful number, since it uses less digits than its factorization.

486720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 486720416 is about 22061.7410011087. The cubic root of 486720416 is about 786.6107087778.

The spelling of 486720416 in words is "four hundred eighty-six million, seven hundred twenty thousand, four hundred sixteen".