492093000 has 384 divisors, whose sum is σ = 1944933120. Its totient is φ = 109900800.

The previous prime is 492092987. The next prime is 492093011. The reversal of 492093000 is 390294.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4598947 + ... + 4599053.

It is an arithmetic number, because the mean of its divisors is an integer number (5064930).

Almost surely, 2^492093000 is an apocalyptic number.

492093000 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 492093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972466560).

492093000 is an abundant number, since it is smaller than the sum of its proper divisors (1452840120).

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

492093000 is a wasteful number, since it uses less digits than its factorization.

492093000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 492093000 is about 22183.1692956620. The cubic root of 492093000 is about 789.4944155959.

The spelling of 492093000 in words is "four hundred ninety-two million, ninety-three thousand".