492713136 has 60 divisors (see below), whose sum is σ = 1391607360. Its totient is φ = 162725760.

The previous prime is 492713129. The next prime is 492713141. The reversal of 492713136 is 631317294.

492713136 is a `hidden beast` number, since 492 + 7 + 131 + 36 = 666.

492713136 is a nontrivial binomial coefficient, being equal to C(31392, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 492713136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 31391.

It is an arithmetic number, because the mean of its divisors is an integer number (23193456).

Almost surely, 2^492713136 is an apocalyptic number.

492713136 is the 31391-st triangular number and also the 15696-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695803680).

492713136 is an abundant number, since it is smaller than the sum of its proper divisors (898894224).

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

492713136 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (492713135) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (31514).

492713136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31514 (or 31505 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 492713136 is about 22197.1425188018. The cubic root of 492713136 is about 789.8259168844.

The spelling of 492713136 in words is "four hundred ninety-two million, seven hundred thirteen thousand, one hundred thirty-six".