492211720 has 256 divisors, whose sum is σ = 1567641600. Its totient is φ = 133954560.

The previous prime is 492211717. The next prime is 492211723. The reversal of 492211720 is 27112294.

It is an interprime number because it is at equal distance from previous prime (492211717) and next prime (492211723).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (492211723) 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 63 ways as a sum of consecutive naturals, for example, 760437 + ... + 761083.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^492211720 is an apocalyptic number.

492211720 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 492211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

492211720 is an abundant number, since it is smaller than the sum of its proper divisors (1075429880).

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

492211720 is a wasteful number, since it uses less digits than its factorization.

492211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 492211720 is about 22185.8450368698. The cubic root of 492211720 is about 789.5579003712.

It can be divided in two parts, 492 and 211720, that added together give a palindrome (212212).

The spelling of 492211720 in words is "four hundred ninety-two million, two hundred eleven thousand, seven hundred twenty".