492851848320 has 960 divisors, whose sum is σ = 1961142072120. Its totient is φ = 117249638400.

The previous prime is 492851848319. The next prime is 492851848337. The reversal of 492851848320 is 23848158294.

492851848320 is a `hidden beast` number, since 4 + 9 + 28 + 518 + 4 + 83 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132362081856 + 360489766464 = 363816^2 + 600408^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 647636740 + ... + 647637500.

Almost surely, 2^492851848320 is an apocalyptic number.

492851848320 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 492851848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980571036060).

492851848320 is an abundant number, since it is smaller than the sum of its proper divisors (1468290223800).

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

492851848320 is a wasteful number, since it uses less digits than its factorization.

492851848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 492851848320 in words is "four hundred ninety-two billion, eight hundred fifty-one million, eight hundred forty-eight thousand, three hundred twenty".