492256128 has 128 divisors (see below), whose sum is σ = 1609413120. Its totient is φ = 129816576.

The previous prime is 492256109. The next prime is 492256157. The reversal of 492256128 is 821652294.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27901 + ... + 41987.

It is an arithmetic number, because the mean of its divisors is an integer number (12573540).

Almost surely, 2^492256128 is an apocalyptic number.

492256128 is a gapful number since it is divisible by the number (48) 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 492256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804706560).

492256128 is an abundant number, since it is smaller than the sum of its proper divisors (1117156992).

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

492256128 is a wasteful number, since it uses less digits than its factorization.

492256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14112 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 492256128 is about 22186.8458326099. The cubic root of 492256128 is about 789.5816446472.

The spelling of 492256128 in words is "four hundred ninety-two million, two hundred fifty-six thousand, one hundred twenty-eight".