492029296704 has 189 divisors, whose sum is σ = 1550762557981. Its totient is φ = 149043671040.

The previous prime is 492029296697. The next prime is 492029296711. The reversal of 492029296704 is 407692920294.

The square root of 492029296704 is 701448.

It is a perfect power (a square), and thus also a powerful number.

492029296704 is a `hidden beast` number, since 492 + 0 + 2 + 92 + 9 + 67 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (492029296697) and next prime (492029296711).

It can be written as a sum of positive squares in only one way, i.e., 320673038400 + 171356258304 = 566280^2 + 413952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185180944 + ... + 185183600.

Almost surely, 2^492029296704 is an apocalyptic number.

492029296704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

492029296704 is the 701448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492029296704

492029296704 is an abundant number, since it is smaller than the sum of its proper divisors (1058733261277).

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

492029296704 is an equidigital number, since it uses as much as digits as its factorization.

492029296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 492029296704 in words is "four hundred ninety-two billion, twenty-nine million, two hundred ninety-six thousand, seven hundred four".