487935360 has 512 divisors, whose sum is σ = 2009318400. Its totient is φ = 110592000.

The previous prime is 487935293. The next prime is 487935361. The reversal of 487935360 is 63539784.

487935360 is a `hidden beast` number, since 48 + 79 + 3 + 536 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (487935361) 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, 3231285 + ... + 3231435.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^487935360 is an apocalyptic number.

487935360 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 487935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

487935360 is an abundant number, since it is smaller than the sum of its proper divisors (1521383040).

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

487935360 is a wasteful number, since it uses less digits than its factorization.

487935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 487935360 is about 22089.2589282665. The cubic root of 487935360 is about 787.2646734492.

The spelling of 487935360 in words is "four hundred eighty-seven million, nine hundred thirty-five thousand, three hundred sixty".