487078560 has 288 divisors, whose sum is σ = 1786376592. Its totient is φ = 120422400.

The previous prime is 487078523. The next prime is 487078561. The reversal of 487078560 is 65870784.

487078560 is a `hidden beast` number, since 4 + 87 + 0 + 7 + 8 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 482768784 + 4309776 = 21972^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×487078560² = 474491047223347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (487078561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2472382 + ... + 2472578.

Almost surely, 2^487078560 is an apocalyptic number.

487078560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893188296).

487078560 is an abundant number, since it is smaller than the sum of its proper divisors (1299298032).

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

487078560 is a wasteful number, since it uses less digits than its factorization.

487078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 487078560 is about 22069.8563656404. The cubic root of 487078560 is about 786.8035990047.

The spelling of 487078560 in words is "four hundred eighty-seven million, seventy-eight thousand, five hundred sixty".