492389694720 has 2268 divisors, whose sum is σ = 2286447946020. Its totient is φ = 101165137920.

The previous prime is 492389694683. The next prime is 492389694757. The reversal of 492389694720 is 27496983294.

492389694720 is a `hidden beast` number, since 4 + 9 + 23 + 89 + 69 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (492389694683) and next prime (492389694757).

It can be written as a sum of positive squares in 2 ways, for example, as 133885737216 + 358503957504 = 365904^2 + 598752^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×492389694720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5532468436 + ... + 5532468524.

It is an arithmetic number, because the mean of its divisors is an integer number (1008134015).

Almost surely, 2^492389694720 is an apocalyptic number.

492389694720 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 492389694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143223973010).

492389694720 is an abundant number, since it is smaller than the sum of its proper divisors (1794058251300).

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

492389694720 is an equidigital number, since it uses as much as digits as its factorization.

492389694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 492389694720 in words is "four hundred ninety-two billion, three hundred eighty-nine million, six hundred ninety-four thousand, seven hundred twenty".