492771840 has 320 divisors, whose sum is σ = 1814883840. Its totient is φ = 112803840.

The previous prime is 492771817. The next prime is 492771889. The reversal of 492771840 is 48177294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 492771792 and 492771801.

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 31 ways as a sum of consecutive naturals, for example, 1604967 + ... + 1605273.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2^492771840 is an apocalyptic number.

492771840 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 492771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907441920).

492771840 is an abundant number, since it is smaller than the sum of its proper divisors (1322112000).

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

492771840 is a wasteful number, since it uses less digits than its factorization.

492771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 492771840 is about 22198.4648117837. The cubic root of 492771840 is about 789.8572834111.

It can be divided in two parts, 4927 and 71840, that added together give a palindrome (76767).

The spelling of 492771840 in words is "four hundred ninety-two million, seven hundred seventy-one thousand, eight hundred forty".