492725851200 has 1512 divisors, whose sum is σ = 2108914333344. Its totient is φ = 111974400000.

The previous prime is 492725851199. The next prime is 492725851201. The reversal of 492725851200 is 2158527294.

492725851200 is a `hidden beast` number, since 49 + 2 + 7 + 2 + 585 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (492725851199) and next prime (492725851201).

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

It is not an unprimeable number, because it can be changed into a prime (492725851201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1963051075 + ... + 1963051325.

It is an arithmetic number, because the mean of its divisors is an integer number (1394784612).

Almost surely, 2^492725851200 is an apocalyptic number.

492725851200 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 492725851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054457166672).

492725851200 is an abundant number, since it is smaller than the sum of its proper divisors (1616188482144).

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

492725851200 is a wasteful number, since it uses less digits than its factorization.

492725851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 492725851200 in words is "four hundred ninety-two billion, seven hundred twenty-five million, eight hundred fifty-one thousand, two hundred".