492141600 has 216 divisors, whose sum is σ = 1796017860. Its totient is φ = 126658560.

The previous prime is 492141583. The next prime is 492141607. The reversal of 492141600 is 6141294.

492141600 is a `hidden beast` number, since 49 + 2 + 14 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106254864 + 385886736 = 10308^2 + 19644^2 .

It is not an unprimeable number, because it can be changed into a prime (492141607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207622 + ... + 209978.

Almost surely, 2^492141600 is an apocalyptic number.

492141600 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 492141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898008930).

492141600 is an abundant number, since it is smaller than the sum of its proper divisors (1303876260).

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

492141600 is a wasteful number, since it uses less digits than its factorization.

492141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 492141600 is about 22184.2646936967. The cubic root of 492141600 is about 789.5204053753.

Adding to 492141600 its reverse (6141294), we get a palindrome (498282894).

The spelling of 492141600 in words is "four hundred ninety-two million, one hundred forty-one thousand, six hundred".