487478520 has 256 divisors, whose sum is σ = 1696464000. Its totient is φ = 124416000.

The previous prime is 487478507. The next prime is 487478521. The reversal of 487478520 is 25874784.

487478520 is a `hidden beast` number, since 4 + 87 + 47 + 8 + 520 = 666.

It is a super-2 number, since 2×487478520² = 475270614922780800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487478521) 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, 4472226 + ... + 4472334.

Almost surely, 2^487478520 is an apocalyptic number.

487478520 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 487478520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

487478520 is an abundant number, since it is smaller than the sum of its proper divisors (1208985480).

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

487478520 is a wasteful number, since it uses less digits than its factorization.

487478520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 487478520 is about 22078.9157342475. The cubic root of 487478520 is about 787.0188988883.

The spelling of 487478520 in words is "four hundred eighty-seven million, four hundred seventy-eight thousand, five hundred twenty".