492627744 has 240 divisors, whose sum is σ = 1744142400. Its totient is φ = 133249536.

The previous prime is 492627721. The next prime is 492627769. The reversal of 492627744 is 447726294.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 492627744.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344022 + ... + 345450.

It is an arithmetic number, because the mean of its divisors is an integer number (7267260).

Almost surely, 2^492627744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492627744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872071200).

492627744 is an abundant number, since it is smaller than the sum of its proper divisors (1251514656).

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

492627744 is a wasteful number, since it uses less digits than its factorization.

492627744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1460 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 492627744 is about 22195.2189446286. The cubic root of 492627744 is about 789.7802860657.

The spelling of 492627744 in words is "four hundred ninety-two million, six hundred twenty-seven thousand, seven hundred forty-four".