492728704 has 128 divisors (see below), whose sum is σ = 1113497280. Its totient is φ = 215654400.

The previous prime is 492728699. The next prime is 492728707. The reversal of 492728704 is 407827294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492728707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3263029 + ... + 3263179.

Almost surely, 2^492728704 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 492728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556748640).

492728704 is an abundant number, since it is smaller than the sum of its proper divisors (620768576).

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

492728704 is a wasteful number, since it uses less digits than its factorization.

492728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 492728704 is about 22197.4931917998. The cubic root of 492728704 is about 789.8342353693.

The spelling of 492728704 in words is "four hundred ninety-two million, seven hundred twenty-eight thousand, seven hundred four".