492779520 has 144 divisors (see below), whose sum is σ = 1708204680. Its totient is φ = 131383296.

The previous prime is 492779519. The next prime is 492779557. The reversal of 492779520 is 25977294.

492779520 is a `hidden beast` number, since 492 + 77 + 95 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89487 + ... + 94833.

Almost surely, 2^492779520 is an apocalyptic number.

492779520 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 492779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854102340).

492779520 is an abundant number, since it is smaller than the sum of its proper divisors (1215425160).

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

492779520 is a wasteful number, since it uses less digits than its factorization.

492779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 492779520 is about 22198.6377960451. The cubic root of 492779520 is about 789.8613867790.

The spelling of 492779520 in words is "four hundred ninety-two million, seven hundred seventy-nine thousand, five hundred twenty".