487577664 has 224 divisors, whose sum is σ = 1654698240. Its totient is φ = 137908224.

The previous prime is 487577659. The next prime is 487577669. The reversal of 487577664 is 466775784.

487577664 is a `hidden beast` number, since 4 + 8 + 7 + 577 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (487577659) and next prime (487577669).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 487577664.

It is not an unprimeable number, because it can be changed into a prime (487577669) 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 31 ways as a sum of consecutive naturals, for example, 2092492 + ... + 2092724.

Almost surely, 2^487577664 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 487577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827349120).

487577664 is an abundant number, since it is smaller than the sum of its proper divisors (1167120576).

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

487577664 is a wasteful number, since it uses less digits than its factorization.

487577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

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

The square root of 487577664 is about 22081.1608390501. The cubic root of 487577664 is about 787.0722502391.

The spelling of 487577664 in words is "four hundred eighty-seven million, five hundred seventy-seven thousand, six hundred sixty-four".