492225730920 has 768 divisors, whose sum is σ = 2154993984000. Its totient is φ = 96259645440.

The previous prime is 492225730891. The next prime is 492225730957. The reversal of 492225730920 is 29037522294.

492225730920 is a `hidden beast` number, since 4 + 92 + 2 + 257 + 309 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23080102 + ... + 23101418.

It is an arithmetic number, because the mean of its divisors is an integer number (2805981750).

Almost surely, 2^492225730920 is an apocalyptic number.

492225730920 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 492225730920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077496992000).

492225730920 is an abundant number, since it is smaller than the sum of its proper divisors (1662768253080).

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

492225730920 is a wasteful number, since it uses less digits than its factorization.

492225730920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21362 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 492225730920 in words is "four hundred ninety-two billion, two hundred twenty-five million, seven hundred thirty thousand, nine hundred twenty".