487068192 has 288 divisors, whose sum is σ = 1618081920. Its totient is φ = 137687040.

The previous prime is 487068163. The next prime is 487068209. The reversal of 487068192 is 291860784.

487068192 is a `hidden beast` number, since 487 + 0 + 6 + 81 + 92 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916493 + ... + 2916659.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^487068192 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 487068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809040960).

487068192 is an abundant number, since it is smaller than the sum of its proper divisors (1131013728).

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

487068192 is a wasteful number, since it uses less digits than its factorization.

487068192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 487068192 is about 22069.6214738722. The cubic root of 487068192 is about 786.7980163067.

The spelling of 487068192 in words is "four hundred eighty-seven million, sixty-eight thousand, one hundred ninety-two".