487296864 has 72 divisors (see below), whose sum is σ = 1423177560. Its totient is φ = 162216000.

The previous prime is 487296839. The next prime is 487296877. The reversal of 487296864 is 468692784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (4644864) is a multiple of the sum of its prime divisors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 487296864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648489 + ... + 649239.

It is an arithmetic number, because the mean of its divisors is an integer number (19766355).

Almost surely, 2^487296864 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 487296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711588780).

487296864 is an abundant number, since it is smaller than the sum of its proper divisors (935880696).

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

487296864 is an frugal number, since it uses more digits than its factorization.

487296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 756 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 487296864 is about 22074.8015619620. The cubic root of 487296864 is about 786.9211274232.

Multiplying 487296864 by its sum of digits (54), we get a square (26314030656 = 162216²).

487296864 divided by its sum of digits (54) gives a square (9024016 = 3004²).

The spelling of 487296864 in words is "four hundred eighty-seven million, two hundred ninety-six thousand, eight hundred sixty-four".