492024055320 has 1024 divisors, whose sum is σ = 1989358387200. Its totient is φ = 105815808000.

The previous prime is 492024055319. The next prime is 492024055421. The reversal of 492024055320 is 23550420294.

492024055320 is a `hidden beast` number, since 4 + 92 + 0 + 240 + 5 + 5 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1815586785 + ... + 1815587055.

It is an arithmetic number, because the mean of its divisors is an integer number (1942732800).

Almost surely, 2^492024055320 is an apocalyptic number.

492024055320 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 492024055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994679193600).

492024055320 is an abundant number, since it is smaller than the sum of its proper divisors (1497334331880).

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

492024055320 is a wasteful number, since it uses less digits than its factorization.

492024055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 492024055320 in words is "four hundred ninety-two billion, twenty-four million, fifty-five thousand, three hundred twenty".