492541560 has 448 divisors, whose sum is σ = 2014617600. Its totient is φ = 105815808.

The previous prime is 492541523. The next prime is 492541583. The reversal of 492541560 is 65145294.

492541560 is a `hidden beast` number, since 4 + 92 + 5 + 4 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3878217 + ... + 3878343.

Almost surely, 2^492541560 is an apocalyptic number.

492541560 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 492541560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007308800).

492541560 is an abundant number, since it is smaller than the sum of its proper divisors (1522076040).

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

492541560 is a wasteful number, since it uses less digits than its factorization.

492541560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 492541560 is about 22193.2773604982. The cubic root of 492541560 is about 789.7342266799.

The spelling of 492541560 in words is "four hundred ninety-two million, five hundred forty-one thousand, five hundred sixty".