492732864 has 168 divisors, whose sum is σ = 1587654432. Its totient is φ = 144967680.

The previous prime is 492732853. The next prime is 492732883. The reversal of 492732864 is 468237294.

It is a super-3 number, since 3×492732864³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170794 + ... + 173654.

It is an arithmetic number, because the mean of its divisors is an integer number (9450324).

Almost surely, 2^492732864 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 492732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793827216).

492732864 is an abundant number, since it is smaller than the sum of its proper divisors (1094921568).

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

492732864 is a wasteful number, since it uses less digits than its factorization.

492732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2902 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 492732864 is about 22197.5868958768. The cubic root of 492732864 is about 789.8364581619.

The spelling of 492732864 in words is "four hundred ninety-two million, seven hundred thirty-two thousand, eight hundred sixty-four".