492399600 has 360 divisors, whose sum is σ = 1993836672. Its totient is φ = 100915200.

The previous prime is 492399569. The next prime is 492399601. The reversal of 492399600 is 6993294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492399601) 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 71 ways as a sum of consecutive naturals, for example, 6745164 + ... + 6745236.

Almost surely, 2^492399600 is an apocalyptic number.

492399600 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 492399600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996918336).

492399600 is an abundant number, since it is smaller than the sum of its proper divisors (1501437072).

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

492399600 is a wasteful number, since it uses less digits than its factorization.

492399600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 492399600 is about 22190.0788642132. The cubic root of 492399600 is about 789.6583471654.

The spelling of 492399600 in words is "four hundred ninety-two million, three hundred ninety-nine thousand, six hundred".