492980761 has 32 divisors (see below), whose sum is σ = 630637056. Its totient is φ = 374976000.

The previous prime is 492980749. The next prime is 492980801. The reversal of 492980761 is 167089294.

It is not a de Polignac number, because 492980761 - 2⁷ = 492980633 is a prime.

It is a super-2 number, since 2×492980761² = 486060061432278242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (492980561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 263971 + ... + 265831.

It is an arithmetic number, because the mean of its divisors is an integer number (19707408).

Almost surely, 2^492980761 is an apocalyptic number.

492980761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

492980761 is a deficient number, since it is larger than the sum of its proper divisors (137656295).

492980761 is a wasteful number, since it uses less digits than its factorization.

492980761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 492980761 is about 22203.1700664567. The cubic root of 492980761 is about 789.9688931831.

The spelling of 492980761 in words is "four hundred ninety-two million, nine hundred eighty thousand, seven hundred sixty-one".