486416784 has 320 divisors, whose sum is σ = 1631895552. Its totient is φ = 121651200.

The previous prime is 486416783. The next prime is 486416803. The reversal of 486416784 is 487614684.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1032192) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (486416783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7259919 + ... + 7259985.

Almost surely, 2^486416784 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 486416784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815947776).

486416784 is an abundant number, since it is smaller than the sum of its proper divisors (1145478768).

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

486416784 is a wasteful number, since it uses less digits than its factorization.

486416784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 486416784 is about 22054.8585123550. The cubic root of 486416784 is about 786.4471036515.

The spelling of 486416784 in words is "four hundred eighty-six million, four hundred sixteen thousand, seven hundred eighty-four".