485777664 has 216 divisors, whose sum is σ = 1492283520. Its totient is φ = 151658496.

The previous prime is 485777659. The next prime is 485777711. The reversal of 485777664 is 466777584.

485777664 is a `hidden beast` number, since 4 + 8 + 577 + 7 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 485777664.

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, 4716237 + ... + 4716339.

It is an arithmetic number, because the mean of its divisors is an integer number (6908720).

Almost surely, 2^485777664 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 485777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746141760).

485777664 is an abundant number, since it is smaller than the sum of its proper divisors (1006505856).

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

485777664 is a wasteful number, since it uses less digits than its factorization.

485777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 485777664 is about 22040.3644252993. The cubic root of 485777664 is about 786.1025059094.

The spelling of 485777664 in words is "four hundred eighty-five million, seven hundred seventy-seven thousand, six hundred sixty-four".