487524960 has 192 divisors, whose sum is σ = 1837805760. Its totient is φ = 119992320.

The previous prime is 487524923. The next prime is 487524967. The reversal of 487524960 is 69425784.

It is a happy number.

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 (487524967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51820 + ... + 60500.

It is an arithmetic number, because the mean of its divisors is an integer number (9571905).

Almost surely, 2^487524960 is an apocalyptic number.

487524960 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 487524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918902880).

487524960 is an abundant number, since it is smaller than the sum of its proper divisors (1350280800).

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

487524960 is a wasteful number, since it uses less digits than its factorization.

487524960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 487524960 is about 22079.9673912803. The cubic root of 487524960 is about 787.0438900730.

The spelling of 487524960 in words is "four hundred eighty-seven million, five hundred twenty-four thousand, nine hundred sixty".