492435000 has 240 divisors, whose sum is σ = 1725197760. Its totient is φ = 126720000.

The previous prime is 492434983. The next prime is 492435001. The reversal of 492435000 is 534294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492435001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1394824 + ... + 1395176.

It is an arithmetic number, because the mean of its divisors is an integer number (7188324).

Almost surely, 2^492435000 is an apocalyptic number.

492435000 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 492435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862598880).

492435000 is an abundant number, since it is smaller than the sum of its proper divisors (1232762760).

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

492435000 is a wasteful number, since it uses less digits than its factorization.

492435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 492435000 is about 22190.8765036445. The cubic root of 492435000 is about 789.6772703026.

Adding to 492435000 its reverse (534294), we get a palindrome (492969294).

The spelling of 492435000 in words is "four hundred ninety-two million, four hundred thirty-five thousand".